Activity 2: Analyze and Solve! 1. Steff Michel works in a company with a starting salary of Php 18, 000 and an increase of P150.00 per month. What will be his salary on the 12th month? Determine the common difference and illustrate the arithmetic sequence of the given problem. 2. The 5th term of an arithmetic sequence is 15 and the 11th term is 51. Find a,, d and the nth (general) term.

Q: The 12th term of an arithmetic sequence is 59, and the fifth term is 31, Find the 20th term. 820 =

A: Topic = Sequence

Q: If the third term of a geometric sequence is 12,500 and the sixth term is 800 find the first term…

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Q: You save $1 the first day of a month, $2 the second day, $4 the third day, continuing to double your…

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Q: Find the nth term of the geometric sequence whose initial term is a1=6.5 and common ratio is 8

A: The geometric sequence whose initial term is a1=6.5 and common ratio is 8

Q: Find the seventh term of the geometric sequence whose first term is 5 and whose common ratio is -3.

A: The give sequence is geometric sequence. First term is 5 and common ratio is -3.

Q: Find the sixth term of the geometric sequence withfirst term 10 and common ratio 3.

A: We have to find 6th term of the geometric sequence where first term is 10 and common ratio is 3. We…

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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Q: Suppose you save $1 the first day of a month,$2 the second day, $4 the third day, and so on. That…

A: Given- Suppose we save $1 the first day of a month,$2 the second day, $4 the third day, and so on.…

Q: The second term of geometric sequence is ¾ and the fourth term is 3. Find the first term. Show your…

A: Given second term of geometric sequence is 3/4 and fourth term is 3 i.e we know geometric sequence…

Q: Suppose you save $1 the first day of a month,$2 the second day, $4 the third day, and so on. That…

A: Given: Question 1 Suppose you save $1 the first day of a month,$2 the second day, $4 the third day,…

Q: Find the 28th term of an arithmetic sequence where the fourth term is 33 and the tenth term is 15.…

A: Find the common difference, d:

Q: The second term of a geometric sequence is 10, and the fifth term is 1250/27 . Find the nth term.

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Q: 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term. 3. Php…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve:A pendulum swings…

A: As per the question,                    We are given the geometric sequence which the pendulum…

Q: 4. The total amount of water poured to a container is 1350 liters. During the first day the amount…

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Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: Find the nth term of the arithmetic sequence with the first term −2, common difference 3, and n =…

A: Given: The first term =-2 Common difference =3 n=10 To determine: nth term of the sequence.

Q: Find the 13th term of the geometric sequence whose 1st term is 100, with common ratio of 10

A: Given : 1st term is 100. Common ratio is 10

Q: The first term of an arithmetic sequence is -1 and the fifteenth term is 27. Find the sum of the…

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Q: Find the sixth term of the geometric sequence whose first two terms are 4 and 6.

A: There are many names if the set of numbers follows a specific pattern to write the terms. They are…

Q: You save $1 the first day of a month, $2 the second day, $4 the third day, continuing to double your…

A: We can solve this problem by using the sum formula of Geometric series. we know that the geometric…

Q: The geometric mean between the first two terms in a geometric sequence is 32. If the third term is…

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Q: If the 3rd term of an arithmetic sequence is 13 and the 9th term is 37, what is the common…

A: nth term of arithmetic sequence is goven by,         an = a1 + (n - 1)d      where a1 is first term…

Q: the 10th term of an arithmetic sequence is -4 and the 16th term is 47. what is the 11th term

A: Given  10th term of arithmetic sequence is -4 and 16th term of arithmetic sequence is 47.

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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Q: If the third term of an arithmetic sequence is 4 and the seventeenth term is -66​, find eighth the…

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Q: Find the sum of the first 23 terms of the arithmetic sequence 4m – 3, –10, .

A: For the terms to be in an AP , the first term should be 4 and not 4m which is a mistake.

Q: what is the 1st term of the arithmetic sequence if the 9th term is 84 and the 13th term is 44?

A: We have to find the first term of the arithmetic sequence if the 9th term is 84 and the 13th term is…

Q: The middle term of an arithmetic sequence equals 17, the last term = 32, and the fourth term = 11.…

A: Given middle term = 17 Last term = 32 Fourth term = 11 T4 = a+3d = 11 Middle term = T6 = a+5d = 17…

Q: Find the sum of the first 8 terms of the geometric sequence if the first term is 5 and the common…

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Q: When finding the nth term in an arithmetic sequence, how do I solve a sequence with fractions? For…

A: To justify that the seventh term of the given arithmetic sequence is 72/5 (given)

Q: Find the eighth term of the geometric sequence whose first term is -4 and whose common ratio is -2.

A: Known fact: The nth term of a geometric sequence is given by an=a·rn-1 where a is first term and r…

Q: Find the 8th term of the geometric sequence whose common ratio is 1/3 and whose first term is 4.

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Q: The 5th term of an arithmetic sequence is 47 and the 17th term is 152. Find the first term and…

A: general term of arithmetic sequence  an=a+(n-1)d .........(1)where a=first term and     d=common…

Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36.Calculate the sum of the…

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Q: Find the 24th term of the arithmetic sequence if the first term is 3 and common ratio is 2.

A: First term =  a1 = 3  Common ratio = r = 2  We have to find a24 .

Q: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

A: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

Q: The 7th term of an arithmetic sequence is −41, and the common difference is −2. Find the first term.

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Q: The first term of an arithmetic sequence is equal to 200 and the common difference is equal to -10.…

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Q: Find the 8th term of a geometric sequence where the second term is 6 and the common ratio is 2. *

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Q: If the 100th term of an arithmetic sequence is 213, and it's common difference 2, then what is the…

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Q: The first term of an arithmetic sequence is 9, the last term is -39 and the sum is -195. Find the…

A: Given that: 1st term of AP, a=9Last term, l=-39Sum, S=-195

Q: The fourth term of an arithmetic sequence is 14, and the 20th term is 110. Find the common…

A: As we know that the nth term of the arithmetic sequence is: tn=a+(n-1)d Where 'a' is the first term…

Q: The twelfth term of the arithmetic sequence is 118, and the eighth term is 146. Find first term and…

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Q: An arithmetic sequence has a first term of 0 and a 9th term of 12. Which term number corresponds to…

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Q: find the the first terms of an arithmetic sequence that starts with -20 and has a rate of change 5

A: First term, a = -20 Common difference, d = 5

Q: John saves money in a manner that it forms an arithmetic sequence. John saves 5 dollars on the first…

A: Since you have asked multiple questions, we will solve the first question (Question-3) for you. If…

Q: Find the nth term of the geometric sequence whose initial term is a1 = 8 and common ratio is 4. An…

A: The initial term is given as a1=8 and common ratio is 4. To find : the nth term of the geometric…

Q: Find the sum of the first 50 terms of the arithmetic sequence with the first term 10 and the common…

A: The first term of the arithmetic sequence is a=0. The common difference is d=12. The number of term…