Given the geometric sequence: 40 400 a1 = 4, a2 a3 9 ... 81 find a formula for the nth term: an %3D

Q: 6. 1. 7.

A: Given,          -67+17

Q: Sam paid $5000 in rent for his apartment the first-year. Every year the rent increases by 4%.  What…

A: Solution:-

Q: Give the sum: 8 Σ 2 \* x=1

A: Use the formula for the summation of a finite geometric series.

Q: Determine the common ratio for a geometric sequence where t4= -7 and t11= 114 688

A: Given : T4=-7    T11=114688 for geometric series  Tn=arn-1

Q: Ag = 31 %3D %3D

A: Nth term of an AP is  an=a + (n-1)d Where a is first term , n is the term and d is common difference…

Q: Geometric Sequence: az = 72, a4 432, аg 3?

A:

Q: Find the indicated term for the geometric sequence with the first term, a1, and common ratio, r.…

A: Solution

Q: 1. Write the first five terms of the sequence defined by each equation. t = 4n b. t=3n-7 а. c. t=(n+…

A: Substitute the first five natural numbers for n in the given sequences to obtain the first five…

Q: Write the explicit formula of an arithmetic sequence given the information below: a10=102 and…

A: To write the explicit formula of an arithmetic sequence with the given information

Q: Evaluate S10. the sum of the first ten terms of the arithmetic sequence. a, = 3n, a40 = 11a %3D

A: To Evaluate S10 Given:  a1 =3π ,   a10 =11π Let a be first term and d be common difference of…

Q: In an arithmetic sequence, a, = -3 and d = -5. What is a4?

A: The nth term of an arithmetic sequence is an=a+n-1d Here,  a= first termd= common difference Now,…

Q: Given the sequence: 13, 104, 832, 6656, … Write a rule for the nth term of the sequence.

A: We can find the general term as below.

Q: 117 and a40 369, find the common difference of the sequence. Given a12

A: Given,a12=117a+11d=117................(1)anda40=369a+39d=369..................(2)This is AP.

Q: List the first 5 terms of the geometric sequence given a₁ = 84 and r= 0.5.

A:

Q: Find the formula for the sequence below: -5,15,-45,180,...   a an=-3(-5)n-1 b an=5(3)n-1 c…

A: We have to find the formula

Q: Find the 7th term of the geometric sequence: -1, -4.5, -20.25,... Answer:

A: Consider the given geometric sequence,We can use the explicit formula :   where   is the nth term,…

Q: In the arithmetic sequence: 17, 34, 51.... what is the common difference? Select one: a. 17 b. 52 c.…

A: Given the arithmetic sequence is 17, 34, 51, …

Q: %3| 6. Given the sequence defined by its nth term: {an} = {} a. he sequence, arithmetic or…

A:

Q: In the arithmetic sequence, to= 166 and t12= 130, find the nth term

A: We know, the n-th term of an Arithmetic sequence is given by the formula : tn=a+(n-1)d,where,a=…

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: Find a, and a3 for the following geometric sequence. a, =3, r= -2 an %3D

A:

Q: Complete the geometric sequence: ____, 1/4,.1/2,__

A: Given data:- The given series is, ____, 1/4,.1/2,____...

Q: For a given arithmetic sequence, the 90 term, aon, is equal to 296, and the 6 term, a, is equal Find…

A: Given: a90=296a6=44 To find the 34th term

Q: Find the common ratio of the geometric sequence: {2, – 10, 50, – 250, 1250, ...} -

A: Topic - sequence and series r = common ratio r = an+1/an

Q: Find a, for the following arithmetic sequence. S,2 = 330, a12 -55 a.

A:

Q: a1=5 and a6=-40 then find a8 term of the geometric sequence.

A: Given that,                                                            a1=5, a6=-40 we have to find…

Q: List the first five terms of the sequence. (-1)" – 1 an n2 II

A: