Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term. 5th term is - 26; 15th term is 44 What is the first term of the sequence?

Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for a, to…

A:

Q: Consider the arithmetic sequence with a1= 2 and d=3 write the first five terms of the sequence find…

A: For the Arithmetic sequence, given data are, First term  a1 = 2 common difference d = 3 The nth term…

Q: Given the arithmetic sequence 6,-1,-8,-15,-22. Find the 25 term

A:

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.-7, -3.9, -0.8,…

A:

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

A: We know that nth term of geometric sequence is, an=a1rn-1 Where a1 is the first term and r is a…

Q: Find the 7th term of the geometric sequence shown below: -5x^5, 10x^10, -20x^15,...

A: The given sequence is -5x5,10x10,-20x15,...

Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

A:

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

A: The solution is given below.

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

A: The question is solved for arithmetic sequence

Q: Find the first four terms of the arithmetic sequence. a1 = -9, d= 8 What is the first term? a1 -

A: Consider the provided information, a1=-9  and d=8 Find the first four terms of the sequence. Using…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

A: a1=-30 and d=5

Q: Write a formula for the general term (the nth term) of the geometric sequence 100, 10, 1, 1/10, . .…

A: 100, 10, 1, 110, ........ Here, a=First term=100r=common ratio=second termfirst term=10100=110

Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal…

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

A:

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.16, 13, 10, 7,…

A: Given: 16, 13, 10, 7,...

Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the sixth term…

A:

Q: The 15th term of an arithmetic sequence is 21 and the common difference is -4. (a) Find the first…

A:

Q: Write a formula for the general term (the nth term) of the geometric sequence 3, 15, 75, 375,. . . .…

A: Write the first term a and common ratio r of the sequence.

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

A: General formula for geometric sequence is  an=a1(r)n-1 a1=-3  and r=2 an=a1(r)n-1an=-3(2)n-1

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

A: Given: first terma1 of geometric progression is -3 and common ratior of it is 2 we know that nth…

Q: The sixth and eighth terms of an arithmetic sequence are -12 and -22. Find the fifteenth term. a15

A:

Q: Find the indicated term of the arithmetic sequence with the given description.  The first term is…

A:

Q: Write a formula for the general term (the nth term) of the geometric sequence, 3, 12, 48, 192,…

A: For a G p  , a,ar ,ar2, . . . arn-1  General term is arn-1                    [a=first term  , r =…

Q: The first three terms of an arithmetic sequence are given. Find an expression for t, in terms of n,…

A: The given sequence-1,-2,-3,......

Q: Write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . .Then use the formula for…

A: we have to write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . . also we have…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

A: Given : a1=23d=-4

Q: Find the indicated term for the given arithmetic sequence. The 60th term of - 1, – 7, – 13,. a60 =…

A:

Q: Find the common difference and the sum of the first 8 terms of the arithmetic sequence. an = 4(n-1)…

A:

Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = -0.6, a2 = -14…

A:

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the 50th term…

A: Given, A1=4  d=8 n=50

Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

A: 14, 11, 8, 5 ,...To find:da5ana100

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

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

Q: Determine if the sequence is arithmetic. If it is, find the common difference and the nth term. 3)…

A: An arithmetic sequence is a sequence where the difference between the elements in an order remain…

Q: Write a formula for the general term (the nth term) of the geometric sequence 1.5, -3, 6, -12, . . .…

A: Consider the given geometric sequence 1.5 , -3 , 6 , -12, ... Since the terms of the geometric…

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.x - 8, x - 3, x +…

A: Known fact: The nth term of arithmetic sequence is given by an=a+n-1d where a is first term and d is…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

A:

Q: Write a formula for the general term (the nth term) of the geometric sequence, 0.0007, -0.007, 0.07,…

A: Given information: The geometric sequence is 0.0007, -0.007, 0.07, -0.7,......... Concept used: The…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the sixth term…

A: Given a1=12d=5We know that general terman=a1+(n-1)dSo, an=12+(n-1)5an=7+5n

Q: Find the 15 term of the arithmetic sequence 1.18, 1.26, 1.34, ... the 15h term is

A: topic - arithmetic sequence

Q: Find the 10th term of the arithmetic sequence. 2, - 4, - 10, - 16, ... The 10th term is

A: Given : 2, -4, -10, -16

Q: Write a recursive formula for the sequence 8, 10, 12, 14, 16, .. Then find the next term.

A:

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

A:

Q: In an arithmetic sequence, the first term is 7 and the 20th term is 83 then find the value of S20.

A:

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the 50th term…

A:

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.162, -54, 18, -6, .…

A: Given: The geometric sequence is: 162, -54, 18, -6, . . .

Q: Write a formula for the general term the nth term of the geometric sequence 3, 12, 48, 192,.... Then…

A: Given: Sn= 3, 12, 48, 192,....  Formula used: For geometric series, Sn= a, ar, ar2, ar3,.....…