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Chapter 12: Q 12.48 (page 1190)

Find the eleventh term of the sequence 7,14,28,56,112,224,鈥�Then find the general term for the sequence.

Short Answer

Expert verified

The eleventh term of the sequence is7168 and the general term is equal toan=72n-1

Step by step solution

01

Step 1. Given information

The sequence is 7,14,28,56,112,224,...

02

Step 2. Find the eleventh term of the sequence.

Consider the sequence:

7,14,28,56,112,256,...

Let a,rdenote the first term and the common ratio respectively.

a=7r=147=2

an=arn-1a11=7211-1=7210=7168

03

Step 3. Find the general term of the sequence.

Put a=7,r=2inan=arn-1.

an=72n-1

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