Create a rule for a geometric sequence given the following information: a3 = 6, r = value of a1 : a1 = %3D Rule: an

Q: Write a rule for the n th term of the geometric sequence for which a, = 28 and a, = 1792. %3D

A: Given: a2=28a5=1792

Q: Determine the common ratio for a geometric sequence where t4= -7 and t11= 114 688

A: Given : T4=-7    T11=114688 for geometric series  Tn=arn-1

Q: Find the 10th term of the geometric sequence show below -5x, 25a", -125x°, 2...

A: Given Data: Geometric Sequence: -5x, 25x5, -125x9, ... From the given geometric sequence,…

Q: List the next four terms in the sequences with the given rule a. Start at 0 add three B. Start at…

A: Given: Sequences which, Start at 0 and add three. Start at 0 and add six. To find: Next four…

Q: Write the explicit formula of an arithmetic sequence given the information below: a10=102 and…

A: To write the explicit formula of an arithmetic sequence with the given information

Q: Find rule for sequence: 1/6, 3/8, 9/10, 27/12, 81/14

A: 1/6, 3/8, 9/10, 27/12, 81/14

Q: Given the sequence: 13, 104, 832, 6656, … Write a rule for the nth term of the sequence.

A: We can find the general term as below.

Q: For the following geometric sequence: find an. 1, 2, 4, 8, ...; find a13. a13 %3D

A:

Q: Select all formulas that model the following sequence: 2,6,18,54,dots

A: The given sequence 2, 6, 18, 54,...... We have to find the general formula for the sequence.

Q: Find the 7th term of the geometric sequence: -1, -4.5, -20.25,... Answer:

A: Consider the given geometric sequence,We can use the explicit formula :   where   is the nth term,…

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: Find a, and a3 for the following geometric sequence. a, =3, r= -2 an %3D

A:

Q: Find the common ratio of the geometric sequence: {2, – 10, 50, – 250, 1250, ...} -

A: Topic - sequence and series r = common ratio r = an+1/an

Q: Find the common difference , d, of the arithmetic sequence: 1/2, 3/4, 1, 5/4, 3/2, 7/4, 2...

A: If a1 , a2 , a3 , . . . , an , . . . be a arithmetic sequence then common difference d = a2 - a1 =…

Q: 5. Calculate the formula for the geometric sequence 4000, 1000, 250, 62.5,

A:

Q: Write the first 5 elements of the sequences: 1. a = 3k +4

A: Answer is here

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.