Find the sum of the first 12 terms for the following arithmetic sequence. a2 = 1, a4 =7 The sum of the first 12 terms is

Q: Calculate the first four terms of the following sequence, starting with n = 1. bị = 6, b : 2, b, =…

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Q: Write the first five terms of the geometric sequence. a1 = 5,   r = 2

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

A: First I have written the general term formula for an arithmetic sequence, just use this formula for…

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.-7, -3.9, -0.8,…

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Q: Find the nth term and the indicated term of the arithmetic sequence {a_(n)} whose initial term, a,…

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Q: Find the second, third, and fourth terms of the geometric sequence with c1=8 and r=−12.

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Q: calculate the first four terms of the sequence, starting with n = 1. a1 = 2, an+1 = 2a2n− 3

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Q: Write the first five terms of the geometric sequence, a1 = 5, r = 3

A: Given that  a1=5r=3

Q: Find the indicated term of the geometric sequence -2, 6, -18, ...; a7 a7 =

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Q: Write the first five terms of the geometric sequence. a 1 = 6; r = 3

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Q: Write the first five terms of the geometric sequence: a1 = 1/2, r = 1/2

A: Known fact: A geometric sequence is of the form: a, ar, ar2, ar3, ⋯, arn-1, ⋯

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, -6, 9, -13.5....

A: Given:               4, -6, 9, -13.5,..........     The given statement is the geometric sequence:…

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

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Q: Find the number of terms in the arithmetic sequence with the given conditions.

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Q: Find the indicated term for the arithmetic sequence with first term, a,, and common difference, d.…

A: This is a simple question of arithmetic sequence

Q: Write the first six terms of the arithmetic sequence with the given first term, a, and common…

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Q: Write the first five terms of the sequence with the given nth term. 3 \n a, = (-) a, = 22 = a, = II…

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Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: Given;         a6=-3,  d=0.2,  S=-33 The 6th term of an arithmetic progressing is given by…

Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: Find the 38th term of the arithmetic sequence with a = 6 and d = 12. 467 450 O 479 395

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Q: Find the indicated term for the given arithmetic sequence. The 70th term of - 1, - 8, - 15,... a70 =

A: We have to find 70th term of given sequence.

Q: Write the first five terms of the geometric sequence a1 = 3, r = 2.

A: For the given geometric sequence: a1=3,r=2 We know,nth term of a geometric sequence is given by:…

Q: Find the specified term of the arithmetic sequence that has the two given terms.a1; a6 = 2.7,…

A: To find: The first term a1 of the arithmetic sequence. Given: The sixth term a6 of the sequence is…

Q: Write the first five terms of the geometric sequence, a1 = 20, r = 1/2

A: We have to write first five terms of the geometric sequence where a1=20, r=12. We know that if first…

Q: Use the formula for the sum of the first n terms of the arithmetic sequence to find the sum. 9. + 5…

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Q: Write the first five terms of the sequence given by an = 3^n +1 /n! ,Begin with n=0

A: Given sequence is an=3n+1n! and begin with n=0 Substitute n=0 a0=30+10!=1+11Since, 0!=1=2 Hence,…

Q: Write the first five terms of the sequence with the given nth term.                          an =…

A: an=(-14)n The first five terms are from n=1,2,3,4,5Now we put the value of n=1,2,3,4,5

Q: Determine the first five terms of the arithmetic sequence {an} with a1 = 4, and d = 8.

A: Given: to find first five terms of the arithmetic sequence with a1 = 4, and d = 8.

Q: Write the first five terms of the geometric sequence. a, = 9an - 1, a1 = 1 a1

A: Given an=-9an-1,a1=1Put n=2a2=-9a2-1a2=-9a1a2=-9*1a2=-9.Put n=2a3=-9a3-1a3=-9a2a3=-9*(-9)a3=81.Put…

Q: Find the 7th term of the geometric sequence with the given terms. a4 = -8 and a5 = -40 %3D %D

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Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: The first term of the arithmetic sequence is given as -296 The common difference of the arithmetic…

Q: Write the first n terms of the geometric sequence a4=125 a5= 625 n=3

A: General term of a GP is: arn-1 where a is 1st term and r is common ratio

Q: Find the indicated term for the arithmetic sequence with first term, a,, and common difference, d.…

A: we have given  a1= -90, d= -3 nth Terms of an A P is as  an = a + (n-1)d

Q: Write a recursive formula for the following arithmetic sequence. -7, -10, –13, -16, ... O for n 2 2…

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Q: Find the second, fourth, and eleventh terms of the sequence described by the rule A(n)=2+(n−1)(−2.5)

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Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: Topic = Sequence

Q: Find the sum of the first 14 terms for the following arithmetic sequence. a, = 4, a = 10 The sum of…

A: a2=4a4=10

Q: Write the first six terms of the arithmetic sequence: an = an-1 -0.4, a1 =1.6

A: We have to write first six terms of the arithmetic sequence where an=an-1-0.4 and first term a1=1.6.…

Q: Find the first four terms of the sequence given by the following  a n =51+(n-1)•7, n=1,2,3

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Q: Write the first five terms of the sequence given by an = 2 ^n/(n + 1), Begin with n=0

A: First five terms of sequence

Q: Write the first six terms of the arithmetic sequence an = an-1 - 0.4, a1 = 1.6.

A: We have given recurrence relation between terms of arithmetic sequence an=an-1-0.4 and a1=1.6 We…

Q: Write the first four terms of the geometric sequence with the given properties. a = -9; r = 2 a, =…

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Q: Write the first five terms of the geometric sequence: a1 = 3, r = 2

A: It is given that a1 = 3, r = 2   formula used: nth terms of the geometric sequence is an=a1rn-1

Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = -9, a10 = 15, n…

A: Formula to find the sum of the arithmetic series helps to find the required sum. Assume that the…

Q: Find the sum of the first 8 terms for the following arithmetic sequence. a2 = 9, a4 = 19 The sum of…

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Q: Write the first five terms of the sequence with the given nth term                         an =…

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Q: Find the indicated term of the arithmetic sequence with first term, a1, and common difference, d.…

A: We know that the nth term an of an arithmetic sequence with with first term, a1, and common…

Q: Find the first four terms of the sequence given by the following. a, = 42-8(n-1), n=1, 2, 3...

A: Given sequence is an=42−8n−1, n=1,2,3,...... We have to find the first four terms of the sequence.…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.