1. Writing 5 first terms of the sequence with general term as: n² 5n' Un = sin nл + n ≥ 1

Q: What is the closed form for the infinite geometric sequence beginning  4,2,1,1/2 where the first…

A: Given :The infinite geometric sequence : 4, 2, 1, 12, ..

Q: Suppose that the sequence {a}, is =1 1,3, 5, 7,9, 11, 13, .. Find the sum s=E k=1

A:

Q: Find the explicit formula of the following sequence. 8 (72, 24, 8, 3, ...} O a O b Oc - Od ƒ(n) = a₁…

A: Given sequence is 72, 24, 8, 83, ...

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 sum of the following finite geometric sequence ► 1. 1, 10, 100, 1000, 10000... Sto 2. a₁…

A:

Q: Let an denote the nth term of a geometric sequence. Let ao= 128 and an+1= 2an. What is the explicit…

A: The formula of common ratio is given below: where, an+1 is the (n+1)th term, an is the nth term, r…

Q: Consider the recursively defined sequence for n > 1. a1 = 400 a, = }an-1 Which explicit formula…

A: The objective is to find the sequence that represents the sequence. a1=400an=12an-1

Q: 4 8 Suppose the sequence {b1, b2, b3, ...} is given by {-1, , 9' 27 Which, if any, of the following…

A:

Q: 20 2 2 The nth term of sequence is given by a, ==x3" ,n=1,2,3....If E x 3" |= a(3 – b) 3 n=1 then…

A:

Q: Let a, denote the nh term of a geometric sequence. Let an = 256 and a+1 = =0.5am Part A Write an…

A: In the geometric sequence, the ratio of the consecutive terms is the same (equal) which know as a…

Q: 4n2 + 2n + 6 6, 15, 24, ...,

A:

Q: True or False For a geometric sequence with first term aj and common ratio r, where r + 0, r + 1,…

A: Let geometric sequence is a1,a1r,a1r2,a1r3...........a1rn-1 where a1 is the common difference and r=…

Q: Find the first 4 terms and the 12th term of the geometric sequence: n а, 3D 1024|

A: We are given the following geometric series.               an=102412n Now,…

Q: Find n such that the geometric sequence becomes less than 1: {400, 240, 144, 86.4, ...} n3D

A:

Q: Find the nth term of the given sequence, where n= 1,2,3... 1/5, 4/9, 9/13, 16/17...

A: The given sequence is 15, 49, 913, 1617,⋯ Here numerators of the fractions are 1, 4, 9, 16 which are…

Q: 4 Chose the formula for the nth term of the Geometric Sequence: 6, 4, 4, 10

A:

Q: 40.What is the general term a, for the geometric sequence whose first term and common ratio are both…

A: We need to check each option by putting n=1,2,3....

Q: 12. Find the first 5 terms of the sequence: 2n a, = (-1)" а) 2 n² +1 b) a, = 4a - 5 n-1 and ª1 =1

A:

Q: 6. Find the first 4 terms and the 12th term of the geometric sequence: a, =100,000 and r = -0.2 ɑ1 =…

A:

Q: Prove { (8n-7)/n} n=1 to infinity is an increasing sequence.

A: If we take the sequence as {Un}, and if we can able to show that for all n=1,2,3, ...  Un+1>Un…

Q: 9. What is the general term of the geometric sequence 3, -6, 12,-24, ... ? A. an = 3(-2)"-1 B. an =…

A:

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: 1) Consider the sequence defined as follows: so = 2, %3D 81 = 5, and for all n > 1, Sn+1 = 5sn –…

A: We will answer the first question and please resubmit the other question separately with complete…

Q: What is the explicit rule for the nth term of the geometric sequence? 3, 18, 108, 648, 3,888, O an =…

A:

Q: (b) Define another recursive sequence (hn) by removing fi, f3, f5,... from the bonacci sequence.…

A:

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

A: