i) Find the general form of the sequence (10,50, 250, 1250, ...).

Q: Find S,, the sum of first 15 terms of the arithmetic sequence: , 0, – - 1, .... ...

A:

Q: Find the sum of the first 12 terms of the geometric sequence: 3, 6, 12, 24, . . . .

A: Given: 3+6+12+24+......... we all know that sum of n terms of geometric sequence is given by…

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

A: A detailed solution is given below.

Q: 4 Find the infinite sum of the geometric sequence with a = 6, r = - if it exists. %3|

A:

Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

Q: If the 5th term in a geometric sequence is 25 and the 7th term is 16, what is the common ratio of…

A:

Q: た 2 白 Find the sum of the indicated number of terms of the geometric sequence. -4, 12, -36, ...; n =…

A: Consider the given series.

Q: The 12th term of an Arithmetic sequence is 240 while the 7th term is 196. Find the 10th term of the…

A: Consider the given 12th term of an Arithmetic sequence 240 and  term 7th of an Arithmetic sequence…

Q: What are the next three terms of the geometric sequence 3, 12, 48, . . . ?

A:

Q: 2. If the 7th term of a geometric sequence is 448 and the 17th term is 458752, what are the values…

A:

Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

A:

Q: Identify the explicit formula for the nth term of the sequence written below.   10, −50, 1000/3,…

A: The explicit formula is the formula that can give any term of the sequence upon inserting the…

Q: 9. What is the sum of the first 15 terms of the arithmetic sequence -8, 7, 22, 37, . * O 202 O 1455…

A:

Q: 2. Determine the first five terms of the arithmetic sequence having these values: a, =-97;a, = 447;…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: What is the 11th term of the geometric sequence −1.5, −3, −6, −12, ...

A:

Q: find the 14th term of the following geometric sequence 5, 10, 20, 40, ...

A:

Q: what is the 7th geometric sequence where the first term is 4 the common ratio is 3

A:

Q: Find the thirteenth term of the geometric sequence from the given information. Express the term as…

A:

Q: What is the explicit formula for a geometric sequence?

A:

Q: Find a formula for the general term anan of the arithmetic sequence (starting with a1a1):…

A: First find the common difference of the given arithmetic sequence than put in the formula for nth…

Q: If the second term of a geometric sequence is 250 and the fifth term is 16, what is the common…

A:

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

A:

Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

A:

Q: 1. What is the 16th term of each sequence shown below. a) 2, 10, 18, ...

A: a. 2,10,18,.... To find the 16th term.

Q: Find the first four terms of the sequence defined by а, — 3 %3D а, 3 За, —1 + 2, for all n > 1

A:

Q: What is the sum of the first 13 terms of the given geometric sequence: 1,2,4,8,16,

A: To solve this problem, we use  the result of the sum of geometric sequence.

Q: Determine the sum of the first 6 terms of the geometric sequence. 1,2, 4, .. So

A: A geometric progression is a type of sequenc in which ratio of two consecutive terms is always a…

Q: Find the sum of the first 12 terms of the geometric sequence shown below. 4​,12,,36,108,...   the…

A:

Q: Please propose a formula for the elements of the following sequence a, which begins: 1, 3, 5, 7, .

A:

Q: The 13th term of a sequence is 8, and the 17th term is 8. What is th

A: Given, the 13th term of a sequence is 8 and 17th term of sequence is 8.

Q: What is the n^th term of the following sequence 1,4,7,10

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Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…

A:

Q: Determine if the sequence is a geometric sequence. If it is, find the common ratio and write the…

A: Given: A sequence: 294,42, 6,6/7,.................................. To find: If sequence is…

Q: 6. Write an explicit formula for the geometric sequence 33, 99, 297, 891, ..

A:

Q: 6. Find the indicated nth term of the geometric sequence. 22th term : 8, 32, 128, ...

A:

Q: Find the sum of the first five terms of the geometric sequence with first term 3 and common ratio 2.

A:

Q: what is the sum of the first four thousand terms of the geometric sequence with initial term 3 and…

A: Given first term of G.P, a=3 And common ratio, r=-1 Here, r<1 We know that if r<1 then sum of…

Q: 1. Find the sum of the first eight terms of the geometric sequence 3,6,12, * ...

A: 1. We have find the sum of first eight terms of the geometric sequence 3,6,12... Formula for sum of…

Q: Determine whether the sequence is arithmetic or geometric.4, 8, 12, 16, 20, . . ._____________

A: Given: 4, 8, 12, 16, 20, . . .

Q: Complete the explicit formula for the geometric sequence 5,10,20,40,80,... an

A:

Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: Given: A sequence is arithmetic sequence in which a1=-2, d=14 and S=21. To find the number of terms…

Q: Find the sum of the indicated number of terms of the geometric sequence. 5, 10, 20, ...; n = 8

A:

Q: What is the common ratio of the geometric sequence 10, 20, 40, 80, 160?

A: Common ratio is the constant factor between consecutive terms of a geometric sequence. To find…

Q: 回 ☆ Find the sum of the indicated number of terms of the arithmetic sequence. 34, 29, 24, ...; n =…

A: Given arithmetic sequence Find the sum of 21 terms

Q: What is the general formula for the nth term of the sequence –4, 1, 8, 17, 28, ...?

A: To determine the general formula for the nth term of the following sequence.  –4, 1, 8, 17, 28, ...…

Q: Identify the explicit formula for the nth term of the sequence written below.   4, -8, 64/3, -64,…

A: 4, -8, 64/3, -64, 1024/5, -2048/3

Q: What are the first three terms of the sequence given that the nth-term formula is an=n/(n+1).

A: Given, nth-term of sequence is an=nn+1  find first three terms of the sequence-

Q: Find the sum of the first 109 terms of the arithmetic sequence: 3, 7, 11, 15, 19, ..

A: Given : 3, 7, 11, 15, 19…

Q: find the explicit formula for the general nth term of the geometric sequence…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.