The nth term of an A.P. is given by an = 3 + 4n. The common difference is(a) 7(b) 3(c) 4(d) 1

Question

The nth term of an A.P. is given by an = 3 + 4n. The common difference is(a) 7(b) 3(c) 4(d) 1
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Solution 1

The common difference of an arithmetic progression (A.P.) is found by subtracting the (n-1)th term from the nth term.

Given the nth term of an A.P. as an = 3 + 4n, we can express the (n-1)th term as a(n-1) = 3 + 4(n-1).

Subtracting a(n-1) from an gives:

an - a(n-1) = [3 + 4n] - [3 + 4(n-1)] = 4n Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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