Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

Q: The first five terms of the sequence  are: 5,

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Q: Write a recursive formula for each sequence. 4, 12, 36, 108, --- 9,4,-1,-6, .. ロロ ロ+■ ローロ ロ-ロ |for n…

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Q: Find the sum of the first 12 terms of the geometric sequence: 3, 6, 12, 24, . . . .

A: Given: 3+6+12+24+......... we all know that sum of n terms of geometric sequence is given by…

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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Q: Construct the explicit formula of the sequence -12, 12, -12, 12, -12,...

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Q: Find the sum of the first 22 terms of the arithmetic sequence: 5, 12, 19, 26, . . . .

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Q: Find for the 20th term of an arithmetic sequence 3, 6, 9, 12,

A: Let's find.

Q: find a formula for the nth term of the sequence. 1, -1, 1, -1, 1,....

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Q: Find the next term of the sequence: 3, 6, 12, 24, 48,

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Q: Find the tenth term and the sum of the first ten terms of the arithmetic sequence whose first two…

A: Let the first term is a1=4+3 and the second term is a2=3. The common difference is,…

Q: find a formula for the nth term of the sequence. 0, 1, 1, 2, 2, 3, 3, 4,...

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Q: Find a formula for the nth term of the sequence. -9, -7, -5, -3, -1 (every other integer starting…

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Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: Find for the 15th term of an arithmetic sequence 3, 6, 9, 12,

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Q: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

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Q: Find the first five terms of the sequence 2" -1 n 1, 2, 3, .. аn n2 1

A: Given: -

Q: Find the sum of the first five terms of geometric sequence. a1 = -5, r = 4

A: We know that, sum of n terms of an geometric series with first term a and common ration r is given…

Q: If the nth term of a sequence is (-1)"+1, which terms are positive and which are negative? п

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Q: Write the explicit formula for the sequence 3, 7, 11, 15, 19, 23, ...

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Q: Find the sum of the first 11 terms of the geometric sequence: 3, -6, 12, -24, . .

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Q: What is the next three terms of the given sequence 25,12,-1,-14,-27,_,_

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Q: Find the first four terms and the eighth term of the sequence.{12 - 3n}

A: Find the first four terms and the eighth term of the sequence.{12 - 3n} Given, an=12-3n To find a1,…

Q: Find the tenth term of the sequence. 1,0, -3, -8, - 15, ... The tenth term is

A: Given series: 1, 0, -3, -8, -15

Q: Find the infinite sum of the geometric sequence with a = = 6, r = if it exists. %3D 2 00

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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: find a formula for the nth term of the sequence. 0, 3, 8, 15, 24,....

A: Terms: 0, 3, 8, 15, 24, .... Difference of successive terms: 3 - 0, 8 - 3, 15 - 8, 24 - 15, .....…

Q: Find the 8th term of the following sequence 6, 12, 24, . . . .

A: series = 6,12,24...   we see that the each value in the series is getting multiplied = 2*previous…

Q: Find the infinite sum of the geometric sequence with a = 5, r = 4 if it exists. %3D 8

A: Given, a=5 r=4/7 S∞=?

Q: Find the 8th term of the geometric sequence 2, –10, 50, ...

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Find the 7th term of the geometric sequence 2, -6, 18, ...

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Q: find a formula for the nth term of the sequence. 2, 6, 10, 14, 18,...

A: 2, 6, 10, 14, 18,........ It is an arithmetic sequence with

Q: Find the next term of the sequence: 8, 5, 2, -1, -4,

A: Explanation: Here given that a sequence: 8, 5, 2, -1, -4, ...

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

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: Find the sum of the first 20 terms of the sequence. 1, 4, 7, 10, ..

A: By using sum formula, we calculate the required sum of the sequence.

Q: Find the first four terms and the eighth term of the sequence.

A: The given sequence is 2+-0.1n.

Q: Find the 8th term of each sequence. 4. 1, 2, 4, 8, 16, . 5. -6, -9, -12, -15, -18, ..

A: 4. 1,2,4,8,16 given series is geometric series  r=21r=2 Tn=arn-1Tn=1*(2)n-1…

Q: Find the 11th term of the sequence 3, -6, 12, -24,. ...

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Q: Find the 18th term of the arithmetic sequence 3,10, 17, 24, ....

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Q: Find the sum of the first 7 terms of the Geometric Sequence 3, 6, 12, 24, …

A: We can solve the problem by geometric progression rules.

Q: Find the sum of the first 60 terms of the sequence. {2, 10, 18, 26, …}

A: Given sequence is 2, 10, 18, 26.........

Q: (2п)! An

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Q: If the sequence 1, 0.3, 0.09, 0.027 is a geometric sequence, find the sum of the first five terms.

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Q: Write an explicit formula for the geometric sequence  4.  – 4/3, 4/9, -4/27, …

A: Calculation are as follows

Q: What are the first three terms of the sequence given that the nth-term formula is an=n/(n+1).

A: Given, nth-term of sequence is an=nn+1  find first three terms of the sequence-

Q: Write the first five terms of the sequence if asubn=2 +2/n-1/n^2

A: We plug n=1 and 2 in the given function

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r= -1. The sum…

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Q: 3. -5, 15, -45,... n = 7

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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.