Find the number of terms in the finite arithmetic sequence: {- 2, 4, 10, 16, 22, ..., 466} n 3=

Q: Write the first five terms of the sequence whose general term is an = (-1)n+1/n2 .

A: we have to write the first five terms of the sequence whose general term is given as an=(-1)n+1n2

Q: Determine the number of terms in the following sequence. -3,1,5, ..., 37

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Q: Find the nth term of the arithmetic sequence with the given values. 2 %3D a = 5' 15 n=614

A: Given : a1 = 65d = 215n = 614

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 sum of the first 94 terms of the arithmetic sequence: -6, –1,4, 9, 14, ...

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Q: Find the eighth term of the arithmetic sequence withfirst term -3 and common difference 4.

A: Given : First term is -3  Common difference is 4

Q: Find the number of terms in the given finite arithmetic sequence 12,8,4,0,...-188

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Q: Find the 7th term of the geometric sequence -3, 9, –27, 81, –243,.. а. 729 с. -2,190 b. -2,187 d.…

A: We have to find 7th term of the geometric sequence -3,9,-27,81,-243,...

Q: find a formula for the nth term of the sequence. 1, -1/4,1/9, -1/16,1/25, ...

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Q: Write a formula for the nth term of the geometric sequence. -40,20,-10,5,.........

A: Find the ratio of the series by dividing 2nd term by first term.

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, 1.2, 0.36,…

A: Given geometric sequence is 4, 1.2, 0.36, 0.108,… To find the nth term, fifth term and eight term of…

Q: Find a and az for the geometric sequence 6, a2, аз, —162,

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Q: Find the 10th term of the geometric sequence show below -5x, 25a", -125x°, 2...

A: Given Data: Geometric Sequence: -5x, 25x5, -125x9, ... From the given geometric sequence,…

Q: Answer each question based on the following arithmetic sequence. 13, 10, 7, 4,...

A: Given,          The arithmetic sequence is 13,10,7,4,...We know that,          The general term of…

Q: Find the number of terms in the finite arithmetic sequence. 2, 6, 10, 94

A: Given sequence is    The sequence is arithmetic sequence with first term a=2 and common difference…

Q: List the terms of the sequence below from n = 1 to n = 5

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Q: Find the first four terms of the sequence given by the following. a,= 68+7(n-1), n= 1, 2, 3...

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Q: Find the missing term or terms in each arithmetic sequence  ...,-32,blank ,28,...

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Q: Find the 10th element of the following arithmetic sequence, counting 7 as the first. 7,11,15,19,...

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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 second, fifth, and eleventh terms of the sequence described by the rule. A(n) = - 3+ (n-…

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Q: Find the common ratio of the geometric sequence: {- 4, 32, – 256, 2048, – 16384, ...}

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Q: Find the first four terms of the sequence given by the following. a, = 64-3 (n-1), n=1, 2, 3... olo

A: Solve the given problem.

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: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a, =n+5 O 320 O…

A: The general term of an arithmetic sequence is given by formula an = n+5 To evaluate : The sum of…

Q: Find the first four terms of the sequence given by the following. a,=52+4(n-1), n=1, 2, 3...

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Q: Write a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8, 14, . . . .

A: we have to write  a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8,…

Q: Find the number of terms in the following arithmetic sequence 11, 18, 25,. 102. Hence, find the sum…

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Q: Find a formula for the nth term of the sequence. - 1, 6, 25, 62, 123, .

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Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/3n…

A: The general term given is an=-1n3n-1.

Q: Find the sum of the first 68 terms of the arithmetic sequence.

A: The given question is taken from the sequence and series and we have to find the value of  some of…

Q: Find the formula for the nth term of the sequence. 10

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Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.3, 2.7, 2.4,…

A: Given information: The arithmetic sequence is 3, 2.7, 2.4, 2.1,.... Concept used: The nth term of…

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

A: Write the first five terms of the sequence with the given nth term

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: List the first five terms of the sequence. (-1)"n an n! +1

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Q: Find the indicated term of the arithmetic sequence. -9, -4, 1,...; a14

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Q: 6. a, for -2,2,6,10,...

A: Given sequnce is -2,2,6,10... Note thet first term =a1= -3 Common difference=d=2-(-2)=6-2=10-6=4

Q: List the first 4 terms of the arithmetic sequence, if a1=9 and d=4

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Q: Find a formula for the nth term of the sequence. - 1, 16, - 81, 256, - 625, .

A: Consider the given terms of the sequence, -1 , 16 , -81,  256 , -625, … First, write the sequence of…

Q: Find the common ratio of the geometric sequence -12, 84, -588,...

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Q: Find the first term aj of the arithmetic sequence in which ag = 22 and a17 86. a1 =

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Q: List the first 5 terms of the sequence below. 2 3n a, = (-1)" - for n > 0 for n 20

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Q: 3. a, for -3,3,9,...

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Q: Find the 19th term of an arithmetic sequence with a1 = −11 and a30 = 163.

A: Using a1 = −11 and a30 = 163 find common difference dUSe the term formula of AP.

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: For each sequence, determine whether it appears to be arithmetic, geometric, or neither.…

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Q: Find the common ratio of the geometric sequence: {- 8, 56, – 392, 2744, 19208, ...} r =

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

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Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a, = n + 5 273…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.