9. Find the explicit formula for a sequence satisfying а, %3D10а,, + 25а, _,n22 n-1 а, %3D 3, а, —10.

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....​

A: SOLUTION-

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: 10. Find a, for the sequence with generating function 2. (1-2) 1-1-2" - Hint You should "multiply"…

A:

Q: 1. Find the sum of the following infinite sequence: 40, 20, 10, …

A: A detailed solution is given below.

Q: (4) Find the sum of the sequence in (2) to an infinite number of terms.

A: identify the series

Q: Find an explicit formula for the general term an of the sequence. {1,- -/-/- 3 5

A:

Q: The limit of the sequence a, = (-1)"2 is equal to %3D Select one: True O False

A:

Q: d.Write only the first 4 terms in the sequence defined by the formula given below: k az = 2 for all…

A: First four value is  0 ,0 ,2 ,2

Q: Find the infinite sum of the geometric sequence with a1 = 3, r = if it exists. 8

A:

Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

A:

Q: Find two different explicit formulas for the sequence{ -1, 1, -1, 1, -1, 1, ⋅ ⋅ ⋅}.

A: Given: Sequence: {-1, 1, -1, 1, -1……. } 1) It is an infinite geometric progression in which:…

Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. az = 36, ag =…

A: Let we have a geometric series with first term a and common ratio r then the formula for the nth…

Q: Find the 8th term of the sequence -5,- 27 2187 6561 2187 D cannot be determined 5n

A: Given: Sequence: -5, -53, -59, -527, ... To Find: The 8th term of the given sequence

Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: Which explicit formula describes the geometric sequence { 1 1 1 3' 9 27 ' 81 .. n-1 an=+(n- 1) ()…

A: The given sequence is: 13,19,127,181,... That is: 13,132,133,134,... So, the general form of the…

Q: 7. What is the 10th term of the sequence defined by a, = 5p³q² and an = O an-1?

A:

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....

A: TO find the explicit formula of given sequence .first check the common ratio terms since ratio is…

Q: explicity. 3) Write out the first three terms of the sequence 3+2n

A:

Q: Start with any arithmetic sequence of the form s(n) = an + d for n=1,2, ... and fixed positive…

A: Consider an arithmetic sequence of the form Sn=an+d for n=1,2,3... and fixed positive integers a and…

Q: Find the first 4 terms of the sequence defined byf (n) = 1/2n+ n.

A: Consider a sequence an. The first n terms of the sequence are given by: a1, a2, a3,...an

Q: Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions. a = -4, d =…

A:

Q: Find the third ,fourth and fifthterms of the sequence defined by a1=2,a2=3 and an=(-1)nan-1+an-2

A:

Q: Find the sum of the first 10 terms of the geometric sequence defined explicity as: а, — 5 х 2n-1 O…

A: Option B is correct. Detail solution written below.

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: Find the explicit formula for the given sequence. 2,8, 32, 128, ...

A:

Q: For the sequence an = 4 – 4· (n – 1), - | its first term is its second term is its third term is its…

A: The given sequence is an=4-4n-1To find:a1, a2, a3, a4, a5, d

Q: () What will be the 7th term in the sequence defined by gn = 2 · n-1 Enter your answer as a…

A:

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 8 6, г a = -

A: The geometric sequence with a=6, r=28

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

A:

Q: Find an explicit formula for the general term a, of the sequence. {-4,0,4, 8, 12, 16, ...}

A:

Q: 2n – the first six terms of the sequence defined by an = Зп + 1 az = Az =

A: Solution of the problem as follows

Q: Let (an) be the sequence defined by a1 = 5 and an = 2an-1 – 3 when n > 2. What is a4?

A:

Q: The general term of the sequence is Select one: O True O False 1, an = 1-1 1 (-1)"+1 ,n21

A:

Q: Suppose that a sequence is defined as follows. a1=-2, for n>2 an= 3a,-1+2 List the first four terms…

A:

Q: Find the closed form of the generating function for the sequence 2,4, 8, 16, 32, ...

A: Generating Function: Let a0, a1, a2, a3, a4, .....be a sequence of real numbers denoted as an Then a…

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

A:

Q: For the sequence defined by: a1 = 2 5 An+1 = an - + 4 Find: a2 = az = a4 =

A: Find the values of a2 a3 a4

Q: Suppose that a sequence is defined as follows. a1=-5, a,=4a,-1 + 10 for n>2 %3D un List the first…

A:

Q: Find the indicated nth partial sum (Sn) of the arithmetic sequence 20.0190 a) 8, 20, 32, 44... n=10…

A:

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: Find the nth partial sum of the arithmetic sequence. an 2n - x; n = 18 S18 =

A: an = 2n-x; n =18  To Find the nth partial sum of the arithmetic sequence

Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…

A:

Q: Find the first six terms of the recursively defined sequence Sn = 38n-1 +1 for n > 1, and s1 = 1.…

A:

Q: Use the given nth term formula to compute the first tên terms of the sequence. n(2n+1) 6. аn 3 2

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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: Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, ...…

A: The geometric sequence is given by 45, 135, 405, 1215, 3645, ....... To evaluate : The explicit and…

Q: Explicitly calculate the first six val- ues of the factorial sequence using the formula ao = 1 ап —…

A:

Q: Find an explicit formula for a sequence of the form  a1,  a2,  a3,     with the initial terms given…

A:

Q: The arithmetic sequence with a1=5 and d=4 _____,_____,_____,_____

A: Given: a=5,d=4

Q: Compute the first five terms of the sequence define by the formula T, = 2n2 – 5n + 1 For what value…

A: Given Tn  =  2n2 - 5n +1 T1 = 2×12 - 5×1 + 1 = -2 T2 = 2×22 - 5×2 + 1 = -1 T3= 2×32 - 5×3 + 1 = 4…

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: My sequence has the following terms: -100, 00 3 10000 20000 7 1000000 31 - 3 J...

A: This question can be solved by applying the concept of finding general term of a sequence.

Q: Find the partial sum S, of the arithmetic sequence that satisfies the given conditions. a2 = 9, a5 =…

A:

Q: Suppose that a sequence is defined as follows. a1 =-4, an= 3a,-1+7 n2 2 for List the first four…

A:

Q: Find the first five terms of the sequence defined recursively below:   t1 = 2 tn = - 2t n-1 -2

A:

Q: 2. Use the given nth-term formula to compute the first five terms of the sequence. n (2n+1) а. а 3 2…

A: a.) an=n(2n+1)2 b.) an=5n2-3n To find a1, a2, a3, a4, a5

Q: What is the fourth partial sun for the geometric sequence a1=18 and r=2

A:

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

A:

Q: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?

A: We will plug some values for n to check how the signs change.