6. For each of the following sequences, find a formula for the nth term, find the 20th term, and find the sum of the first 20 terms. (а) 6,9, 12, 15, ... (b) 2,1, , .

Q: 5. The sum of the first n terms of a sequence is called the nth sum and is denoted by S.

A: An arithmetic sequence is a series of numbers that have the same common difference and the sum of…

Q: 5. Calculate the sum of the first 23 terms of the sequence defined below. tn 10+ 3n, n E N

A: We have to find the sum

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: Find a formula for the nth term of the sequence where a, is calculated directly from n. 5 9 13 17 21…

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Q: For the sequence an = 5 + 3 · (n – 1), - its first term is its second term is its third term is its…

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

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Q: Determine the nth-term formula for the given sequences, then compute for the 50th term. 9. 1,5, 11,…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the first six terms of the following sequence. an = -2 – 7(-1)", for n > 1. %3D

A: To solve this problem we need to have an understanding about the powers of -1.

Q: List the first 10 terms of each of these sequences. a) the sequence obtained by starting with 10…

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Q: The nth element of the following sequence – 1, 2, –4, 8, ..

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Q: Find a formula for the nth term of the sequence. 2) 0, 2, 0, 2, 0 (alternating 0's and 2's) A) an =…

A: Option C is correct.  Checking options we get that for nth term series in option C is correct.  Put…

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

A: Given that, first few terms are:      -6,4,-83,169,-3227..... The given sequence is the geometric…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 8 10 12 14…

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Q: Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common…

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Q: Find the first four terms of the sequence given by the following. (-1)"*1 an п3D 1, 2, 3, ... %3D…

A: We have to find first four terms of the given sequence.

Q: For the following sequence, find the term number n of the last term of the finite sequence 13 , 4 ,…

A: Given sequence is: 13 , 4 , − 5 , − 14 , − 23 , . . . , − 230 We have to find the term number n.

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 5/1 , 7/2 ,…

A: The detailed solution is given below Thank you

Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −6 such…

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Q: Q1. Write the first five term of the given sequences. 3(-1)" а, n!

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1.Determine the formula for the nth term of the following sequences: а, 3 3, ап+1 %3D 2а, ; n 2 1…

A: Given: a1=3an+1=2an ;         for  n≥1

Q: Find the So. for each of the following sequences. 16 32 i) 20, 8, ****** 5' 25' 3-3 " 4 16 ii) 12,…

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Q: Compute the first 6 terms of the sequence {an} where An-1+n a1 = 1 and an for n > 2.

A: The given sequence,a1=1 and an=an-1+n2 for n≥2

Q: The nth term of the following sequence 1,4,7,10,.is A. n В. Зп — 2

A: Solution of the problem as follows

Q: B. Find the first three terms of each sequence using the given rule. 1. a = 2 and an= an-1+3, for…

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Q: Given the following sequence, provide the (unsimplified) sum of the first 20 terms: -2, 3, 8, 13,…

A: given sequence is :                                       -2, 3, 8, 13...  we have to find sum of n…

Q: 1. For each of the following sequences, write down the first 4 terms of the sequence (an). (a) (급),…

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Q: C. For each of the following sequences, determine the indicated arithmetic means. 7. -15,_, _,15,...…

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Q: Find the limit of the sequence with the given nth term.

A: To find the limit of the sequence whose nth term is an=6+2n2

Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…

A: To find the fifth term and nth term of the sequence whose first term and the common ratio is given.

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 the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: Given:                  ...(1) To find the terms of the sequence, Plug n=0 in the equation (1) we…

Q: Find the first 5 terms of the sequence defined byan = (-1) n (2n).

A: The given sequence is an = (-1)n (2n)

Q: Find the fifth term in the sequence that is defined as follows: an = n² + 2

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 12 1 2 6 24…

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Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r = a, = (/2)(5y* a, =…

A: Given query is to find the nth term of the sequence.

Q: Q1. Find the nth term for each of the following sequences (a) 5, 8, 11, 14, . - (b) 9, 14, 19, 24, .…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: the n^th term of the following sequence 1,4,7,10,...is

A: For given sequence a1 = 1 a2= 4 a2 = a1 + 3

Q: 1 7. /2n 8. n-2" n+3 9. n(n+1)(n+2) 10. V3n-1

A:

Q: Find the first four terms and the nth term of the infinite sequence defined recursively as follows:

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 8 12 16 20…

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Q: If the explicit nth term formula for the given sequence is an = 2n2 + bn +c, then b= and c= 5, 10,…

A: Plugging n=1, an=2n2+bn+ca1=212+b1+c5=2+b+cb+c=3 Plugging n=2, an=2n2+bn+ca2=222+b2+c10=8+2b+c2b+c=2

Q: For the given geometric sequence. Find the sum of the first 6 terms of -2,2,-2,2,….

A: Sum of geometric progression

Q: Find a formula for the general term an of the sequence (starting with a1): {2,6, 2, 6, ...}.

A: • The given sequence repeats itself after 2 terms. It's general formula can be given as explained in…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 1 3 5 7 1'…

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Q: Find the sum to the nearest tenth of the first 17 terms of the sequence defined by the recursion a…

A: Given first term ( a ) = 5 Next term of series = 1.1 + an-1 This defines an A.P. with first term of…

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 first 6 terms of the sequence defined byf (n) = 2n + 3.

A: Given, f(n)=2n+3

Q: 2. Find the 11th term of the following geometric sequence. 4, 12, 36, 108, ...

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Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −3 such that…

A: Our Aim is to find a formula an for the nth term of the arithmetic sequencewhose first term is a1=-3…