Find a formula for.the general term an of the sequence assuming the pattern of the first few terms continues. {-을 9. 12 15 18 4 8. 16 32 Assume the first term is ai an =

Q: Find the sum of the first 90 terms of the geometric sequence. Show your work with the formulas 4800,…

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Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What would be…

A: Given A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What…

Q: Calculate the next term in the geometric sequence that is calculated with a ratio of 32 if the…

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Q: create a sequence with five terms based on the given information.  An arithmetic sequence with a…

A: Given that the third term of the arithmetic sequence is 8 and the common difference is 5.That is a3…

Q: 4. Find the 52nd term of the arithmetic sequence: 3, 7, 11, 15, ...

A: To find The 52nd term in arithmetic sequence 3,7,11,15,....

Q: The eight term in a geometric sequence with a second term 3 and fifth term 81/8, multiply with the…

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Q: Find the 11th term of the harmonic sequence1/5,1/8/1/11,1/14,. . .

A: harmonic progression is 1arithmetic progression the given series has a pattern of = 13+previous term…

Q: A geometric sequence whose first term = 2 and whose sixth term = 64, i) find the first six terms ii)…

A: The nth term of a geometric progression or a geometric sequence with first term and common ratio r…

Q: Find the sum of the first 130 terms of the arithmetic sequence 8, , 7, ....

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Q: Determine the first six terms of the sequence defined by t₁ = -5 and t = -3t-1 + 8. -5, 23, -61,…

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Q: Find OF the Formula For the nth term Sequence: 0, 1,3, 6, 10,15,21,28,36, 45,55, 66,78,91,105,...

A: now in this question, we have to find the nth term of the sequence using given data.

Q: Find the indicated term of the geometric sequence. 9th term of 0.6, 0.06, 0.006,.. Enter the 9th…

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Q: The third term of the arithmetic sequence is 72 and the number of the third term with the fifth term…

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Q: The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ... is

A: The given sequence is 0.7,0.77,0.777,...... The sum geometric sequence with common ratio r<1 ,of…

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

A: given

Q: Write a rule for the n th term of the sequence for which a =3 andr Identify the first six terms of…

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Q: 8. Find the number of terms of the finite arithmetic sequence {7, 16, 25, 34, ...,574}. Make sure to…

A: Explained below

Q: Find the sum of the first 34 terms of the arithmetic sequence with first term 3 and 34th term 69.

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Q: 2 The common ratio of the sequence 13 1) - 2) 3 3) -- 4) --

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Q: Qr. identipy and the pollowing sequence then terms. gind its 15 20 and 2,8,14, 20 --

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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: Which term of the geometric sequence 6, 18, 54, … is 118098

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Q: 17th term of the sequence 7,4, 1,......

A: For part (1) We have to find out the 17th term of the given sequence.

Q: Find the 83rd term of the arithmetic sequence with 1st term 6 and common difference −1/2

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Q: Find the sum of the first 13 terms of the arithmetic sequence. 5,9, 13, 17. . What is the sum of the…

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Q: Find the sum of the 3rd and the 7th term of the sequence: 1, 4, 13, 40, 121, ...

A: We have to find the sum of 3rd term and 7th term of the given sequence.

Q: What will be the sum of arithemetic sequence with first term a1=1 and second term a2=24

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Q: Find the sum of the first 36 terms of the arithmetic sequence with first term 5 and 36th term 110.

A: Given first and 36th term is 5 and 110.

Q: Find the specified term of the geometric sequence. 7th term: 5, 30, 180, ... a,

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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: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term

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Q: Find the sum of the first n terms of the geometric sequence with the given values. a, = 320, r= k --…

A: Given: a1=320r=-k2n=10 Also, the sum of  first n terms of the geometric sequence for negative value,…

Q: Find the sum of the first 8 terms of the geometric sequence. 139 9 27 27 81 - - - + 2 2 2 O A. 2…

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Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the value of…

A: *to find:- value of the 32nd term in Arithmetic Sequence.

Q: Find the formula of the Sequence. 1.) 2,1,3,4/3,15/4..., or 2, 2/2, 3/1, 4/3, 5(3)/4,...-

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Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 10 and common…

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Q: Find the first term and the common ratio of the geometric sequence. 27 81 6, 9, 2' 4 3 O A. a, = 2 3…

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Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

A: Solution: From the given information, the town has a population of 5000 persons. But it is expected…

Q: th Find the n of a sequence whose first four terms are given. 6. 8 - ... 11 ' 22' 33 44 믐 a

A: Write n term

Q: 4. What are the first five terms of the sequence for a1--2 and an-2an-1+5?

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

A: Topic - geometric progression

Q: Find the sum of the first 8 terms of the sequence −1, −7, −49, −343, . . . (geometric)

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Q: 2) The sum of the first 16 terms of an arithmetic sequence is 212 and the fifth term is 8. a) Find…

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Q: 1. If the numbers a, m,m2, C, m, b form an arithmetic sequence, we say that the numbers m,m2, C, m…

A: If there are k arithmetic mean between a = 1 and b = 30 and d is the common difference of the…

Q: Find the sum of the first 60 terms of the arithmetic sequence with third term 10 and eighth term 25

A: Let, first term is a, And the common difference is d. Sum of first 60 term =(60/2)(2a+59d)…

Q: Find the indicated term of following sequence  1,1,-3,5,-7,9 ,---------a10 1,3,12,60---------a6

A: In this problem, we have to identify the relationship between the successive terms of the series to…

Q: Find the sum of the first 100 terms of an arithmetic sequence with 15th term of 90 and first term of…

A: 15th term is 90 and the first term is 6 of an arithmetic sequence. To find the sum of its first 100…

Q: Find the sum of the first 11 terms of the geometric sequence shown below. 2, 8, 32, 128, . .... The…

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Q: Find the nth term of a sequence whose first several terms are given. 2/3, 3/4 , 4/5, 5/6

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.