Find the sum of the first 21 terms of the arithmetic sequence given by the formula a, = n + 5 273 336 320 63

Q: Find the formula for the nth term for the arithmetic sequence where a₁ = 33 and d= -16

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: Use the formula for the sum of a geometric sequence to write the following sum in closed form 9 +…

A: Given series 9 + 92 + 93 +...........+ 9n here  common ratio (r) is 9 and first term (a) is also 9

Q: Find a formula for the general term an of the sequence (starting with a1):…

A: Consider the given sequence,-3/2, -1/6, 1/12, 3/20, 5/30,…The above term of the sequence is also…

Q: For a given arithmetic sequence, the 37 term, a7, is equal to 234, and the 73 term, a-, is equal to…

A: a37=234  &  a73=450⇒a+36d=234   →1  &  a+72d=450   →2    ∵an=a+n-1d Subtracting equation (1)…

Q: Find a formula for the nth term of the arithmetic sequence. 10 3 a₁ = 0, d = - ²/ 6

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Q: Write the first four terms of the sequence whose nth term is an = 2n/(n - 1)!

A: Given the expression for the nth  term of the sequencean = 2n(n-1)!

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

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Q: Use the formula for the sum of the first n terms of a geometric sequence to find:

A: Use the formula for the sum of the first n terms of a geometric sequence to find:

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Given: 3, -6, 12, -24, . . . . is the geometric sequence. To find: the sum of the first 11 terms of…

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: We need to find the sum of the first five terms of the geometric sequence:  4/3, 8/3, 16/3 . . .

Q: Find the explicit formula for the Arithmetic sequence. -5, 2,9, 16, ...

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

A: given series :

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

A:

Q: Find the 20th term of the sequence s, = (-1)"(n + 1).

A: Givensn=(-1)n(n+1)

Q: Use the formula for the sum of the first n terms of a geometric sequence to find the indicated sum.

A: A geometric sequence is a sequence with a fixed ratio of consecutive terms. The ratio is called the…

Q: calculate the first four terms of the sequence, starting with n = 1. cn=3n/3!

A:

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: calculate the first four terms of the sequence, startingwith n = 1.b1 = 1, bn = bn−1 +1/bn−1

A: To find: The first four terms of the sequences. Given: The sequences are b1=1, bn=bn-1+1bn-1.…

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: 14, -29, 316, -425, ......

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

A:

Q: Find the sum of the first 30 terms of the arithmetic sequence. an = -3n + 27

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: The given geometric sequence: 32, 38,332,.....

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

A: Given that, an=-1n+1+0.1n-1

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A:

Q: Find the sum of the first 6 terms of the sequence defined by an = -7 (-4)n-1 for n 2 1 5733 O 28 O -…

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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: Use the formula for the sum of the first n terms of the geometric sequence, and then state the…

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Q: Find the first three terms and the 10th term of the sequence given by an = n/(n +1 ).

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Q: Find a formula for the nth term of the geometric sequence 1600, -400, 100, -25......

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Q: Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric…

A:

Q: Write the first four terms of sequence whose nth term is given by the formula an = n - 4 over n…

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Q: Find the fifth terms of the sequence described by the explicit formula. f(n) = -9.2 -2.5( n-1) %3D…

A: Given function is f(n)=-9.2-2.5(n-1)

Q: Use the given nth- term formula to compute the first five terms of the sequence. an=n/n+1

A: Given an  = n/(n+1) So the first five terms of sequence are a1 = 1/(1+1) = 1/2 a2 = 2/(2+1) = 2/3

Q: find the sum, if it exists, of the infinite geometric sequence described by an =64(1/4)n-1

A: Sum = a/(1-r) ; where 'a' is first term and 'r' is the common ratio.

Q: Determine the sum of the first 7 terms of the arithmetic sequence with general formula: t₁ = -3n+7

A: given arithmetic sequence tn=-3n+7 we have to find  ∑n=17tn

Q: Write the first four terms of the sequence whose nth term is given by the formula  an=3n

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Q: Use the formula for the sum of a geometric sequence to write the following sum in closed form. 4 +…

A: The given sum is 4+42+43+⋯+4n where n is any integer with n≥1. Express the following sum in closed…

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Finding a pattern from the given terms.

Q: Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 20' 25' 30' 35' 40

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Q: find a formula for this sequence: {-2/25, 7/125, -12/625, 17/3125}

A: Look at newmorator and denominator we can easily get the answer.

Q: {1· 2·3 ... n} а. 143 O b. 135 с. 153 d. 134

A:

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

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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: Write the first four terms of the sequence whose nth term is given by the formula. ח 3n 12.1.016

A:

Q: Find a formula for the nth term of the sequence in terms of n. 1 3 32 33 34 4' 6' 8' 10' 12 an = |…

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Q: Find the sum of the first 50 terms in the sequence 2, 6, 10, 14. a. 5000 b. 198 с. 2500 d. 500

A: Given sequence is 2,6,10,14,... here the first term a= 2 common difference d=4 we have to find sum…

Q: Use the formula for the sum of the first n terms of a geometric sequence to find the sum of the…

A: Given that the geometric sequence is 7,14,28,56,112,....