III. SHOW ALL NECESSARY SOLUTIONS NEATLY AND ORDERLY 1. Given the nth term of the geometric sequence: a, = (-4)(-5" a. Generate the first four terms b. Find the sum of the series if it exists as n goes to infinity. 2. Find the fifth term of the geometric sequence if its 3 term is -486 and its 8 term is 2.

Q: 8,20, 22

A: Given that : a) The sequence 8, 20 , 32 , 44 , . .  .  and n = 10.

Q: 6. Simplify the following square root. V175 7. Write the first six terms of the arithmetic sequence…

A: To solve the following problems

Q: 2. Find the fif th termof the + Ap-2 sequence. an=nan-l foR defined by, a, =2 ag=ろ a 152 6) 162 O172…

A: Given, a1 = -2 a2 = 3  an = nan-1 +an-2                 for         n≥3 We have to find the fifth…

Q: 3. Find to given two terms in a geometric sequence, t₁ = 192 and t₂ = 49,152. [5]

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Q: Write the first five terms of each of the following Geometric Sequence. 1. an = 2(3)n 2. an 6(-2)" =…

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Q: Find a formula for an for the arithmetic sequence. a1 = 0, d=- a. 4 аn - Эл - 5 b. an An=-31+3 d. 4…

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Q: 2. Express the geometric sequence as an explicit formula. Then find the 10th term. Sequence: 9, –3,…

A: The explicit formula for a geometric sequence is of the form  f(n) or an= a1 rn-1 where r is the…

Q: Activity 2: Analyze and Solve! 1. Steff Michel works in a company with a starting salary of Php 18,…

A: Given:     a = 18000     d = 150     n = 12

Q: 4. In an arithmetic sequence, t₁0-11 and t18=27, determine the first 2 terms.

A:

Q: Lakeisha wants to put down new tile in her home. The tile costs $3.50/ft2 and labor is $4.00/ft2.…

A: Given,           Lakeisha wants to put down new tile in her home. The tile costs $3.50/ft2 and…

Q: I am needing help writing an expression for the nth term in the attached image.

A: Given:

Q: Write out the first four terms of the sequence and determine whether the sequence is converging. 1…

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Q: A geometric sequence has U3=100 and U7=1600. Find the common ration (r), the first term (U1), the…

A:

Q: Match the terms on the left with the formulas on the right. nth term of an arithmetic sequence nth…

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Q: 3. Find t10 given two terms in a geometric sequence, t5 = 1875 and t, = 46875. %3D %3D

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Q: 1. a₁ = 2n-1 an 2. An= 5n - 3 an 3. a = n(-2)

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Q6. What is a11 for the geometric sequence with a₁ = 4 and r = 4?

A: Given,  First term a1=4 and r=4  nth term in geometric sequence an=arn-1 , where a is the first term…

Q: A2= 4, A3=8, A4=14, A5=22 What is the nth-term formula for the number of tiles in the nth figure of…

A: We use some basic algebraic techniques to figure out the problem. The details are given below as…

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.