Find the direct formula of a sequence given by 3, -6, 12, -24, 48... an = (-2)n-1 an = 3(-2)n an = 3(2)n-1 an = 3(-2)n-1 an = (-2)n а. b. %3D с. d. %3D е. %3D

Q: Find the n" term a, of a sequence whose first four terms are given. 9 10 11 -- -- 4' 8' 12' 16

A: Given:-84,-98,-1012,-1116,....

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: Give the first three terms of each sequence based on the given a1=4,         r=-2         _____,…

A: To find the first three terms of each sequence

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

A: Given: Sequence: {-1, 1, -1, 1, -1……. } 1) It is an infinite geometric progression in which:…

Q: Find the sum of the first 100 terms of the sequence: 4, -2, -8, -14, . . . .

A: GIVEN SEQUENCE,                         4, -2,-8,-14.......         LET…

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

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Q: m of the first 10 terms in an arithmetic

A: Given, the sum of the first 10 terms in an arithmetic sequence is 530.

Q: Find the sum of the first 12 terms of the sequence3, 6, 9, ......

A: The given sequence is 3, 6, 9, ......

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 a formula for the nth term of the sequence. √5 - √4, √6 - √5, √7 - √6, √8 - √7, . . .

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

A: Given the series:1, 0, 1, 0, 1…

Q: Find the sum of the first 25 terms of the sequence. 46, 8, 10, S25-

A: This question is related to arithmetic progression .

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

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Q: The third term of a sequence is 64 while the seventh term is 4. Determine the sum of the first ten…

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Q: Find the nth term an of a sequence whose first four terms are given. -1, 4, -9, 16,...

A: nth term is given.

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 first 15 terms of the arithmetic sequence: -6, -3, 0, 3, . . . .

A: We have to find the sum of first 15 terms of the sequence: -6, -3, 0, 3, .... We know the sum of n…

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 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: Find the sum of the first 15 terms of the geometric sequence: 5, -15, 45, -135, . . . .

A: Given geometric sequence is 5,-15,45,-135,... First term of the sequence, a= 5 Common ratio of the…

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 a formula for the nth term of the sequence. 1, 5, 9, 13, 17,...

A: 1, 5, 9, 13, 17,........ Clearly it is an arithmetic sequence with

Q: Determine the formula for the nth term of the sequence 2,7,12,17,22?

A:

Q: Find the nth term of a sequence whose first several terms are given. 4, -16, 64, -256, ... an II

A: nth term of sequence.

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

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Q: Find the sum of the first 97 terms of the arithmetic sequence      9,3,-3,-9,-15

A: Given: The arithmetic sequence as 9,3,-3,-9,-15,... To find: The sum of first 97 terms of the given…

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 first four terms of the sequence given by the following. a,= 5-(-2)", n=1, 2, 3... %3D

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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: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 204,…

A: Here given sequence is 204, 200, 196, . . ., which is an A.P. as difference between consecutive…

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 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: Find the first term, the common difference, and the sum of the first 33 terms of an arithmetic…

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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: Calculate the sum of the first 38 terms in the sequence. 7, 3, - 1, – 5, ... | The sum is

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Q: Write the formula for the nth term of the sequence: 2, 5, 8, 11, ...

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

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Q: Determine the first five terms of the sequence whose general term is given. {an} = {(- 1)n * 1,²}

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Q: Find the sum of the first 50 terms of the sequence: -2, 0, 2, 4, . . . .

A: -2, 0, 2, 4, ...... It is an arithmetic sequence with, First term=a=-2Common difference=d=2

Q: the sum of the first 40 terms of the arithmetic sequence.   −16​,−25​,−34​,−43​,...

A:

Q: Find the nth term of a sequence whose first several terms are given. 7, 2, –3, –8, ... an

A:

Q: Fi

A: Explanation of the solution is given below...

Q: Find the nth term of a sequence whose first several terms are given. -2, 5, 12, 19, ... an

A: Solve arthimetic progress nth term formula

Q: Find the sum of the first 50 terms of the sequence 12, -12, 12, -12, ...*

A: Solution...

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…