For the sequence defined below, find the term a 4 ao = 1, a1= 4, an=2an-1-an– 2

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: nth term of a geometric sequence is an=a1rn-1 Where a1 = First term             r = common ratio

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

A:

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

A: The series can be written as follows in expanded form: 31+2+32+2+33+2+......+316+2…

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: The first term a1=8 and common ratio r=3.

Q: Write the first four terms of the sequence whose general term is given below. (- 1)" an = 4n + 1 a,…

A: Given data:

Q: Find the explicit formula for the arithmetic sequence Cn given below - note that c1=−4.…

A:

Q: Find the first 4 terms, the 10th term, and the 15th term of the sequence given below. =n² - 6n

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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:

Q: Write the first four terms of the sequence defined by the formula. · 3, for every integer n 2 1. 4…

A: Finding values of fn at different values of n from the given data.

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: A geometric sequence with the first term a1 and the common ratio r , the nth (or general) term is…

Q: For a given arithmetic sequence, the 93rd term, ag3, is equal to 479, and the 12th term, a;2, is…

A:

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A:

Q: Write the first four terms of the sequence whose nth term, or general term, is given:

A: The first four terms of the sequence  n = 1, 2, 3, 4 a)        an=2n+5 First term: n = 1…

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

A: We have sequence as

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

A: given a geometric sequence 4+42+43+....+4n where n is any integer with n≥1 claim- to find the sum in…

Q: Find the Third,fourth and fifth term of the sequence defined by a1=2,a2=3, and an=(-1)an-1+an-2

A:

Q: Find a formula for the general term an of the sequence, starting with a1.{3,−3,3,−3,…}.

A: Given sequence is,

Q: How do I do that?

A: Given that an denotes the nth term of the sequence {10, –2, 10, –2, 10, –2, ….}.Note that the above…

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/2n…

A: Consider the following equation: an=-1n2n+1                    ...... 1 Substitute n=1 in the…

Q: For the sequence defined by: Find: a2=39

A: Given :   a1 = 3  an+1 = (5 / an ) + 4  Find :  a2 ,  a3 ,  a4

Q: For the sequence defined by: a1 = 4 an +1 - + 4

A: Given,          The sequence is defined by :            a1=4            an+1=5an+4

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

A: Given:

Q: Find a7, the seventh term of the geometric sequence whose first term is a₁ = 9280 and whose common…

A: topic - geometric sequence

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: Given: a=4, r=-2 we know that nth termTn of a geometric progression is given by Tn=a.rn-1…

Q: both questions

A:

Q: Find the term a4 for the sequence defined below:           a1 = -2                   an = 5an-1…

A: Given The given expressions are an=5an-1+10 and a1=-2.

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

A:

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 the formula of the general term an of the sequence:

A:

Q: For the sequence defined by b, = 4 · 2" + 3n + 4, simplify completely b, – 2b, – 1. Write your…

A:

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 this sequence: {-2/25, 7/125, -12/625, 17/3125}

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

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 general term a, of the sequence, assuming that the pattern of the first few…

A:

Q: For a given arithmetic sequence, the 82™ term, as, is equal to -539, and the 7" term, a-, is equal…

A: We have given the two terms of an arithmetic progression.

Q: Find the indicated term of the sequence whose nth term is given by the formula. an=2n-8;a12 a12=

A:

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = 2n + 5

A: Write the first four terms of the sequence whose nth term, or general term, is given: an = 2n + 5

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

A:

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

A:

Q: For the sequence defined by: a1 = 2 1 +5 Find: a3

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Q: Find a, and r for the following geometric sequence. a2 = - 5, a5 = - 135 a, = r=

A: given: a2=-5 and a5=-135 we have to find a1 and r for the geometric sequence.

Q: Find as for the sequence defined by an 2ап-1 + 3, ао :1 (A) 11 (В) 29 (C) 61 (D) 17

A:

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

A:

Q: For a given arithmetic sequence, the 95th term, 495, is equal to 786, and the 12th term, 4₁, is…

A: Given

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.