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Practice — Series • Arithmetic Progression

AP Q1

The 9th term of an arithmetic progression is 8 and the 4th term is 18.

Find the first term \(a\) and the common difference \(d\).

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AP Q2

The 3rd term of an arithmetic progression is 1 and the 6th term is 10.

Find the 4th term.

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AP Q3

In an arithmetic progression the 8th term is 39 and the 4th term is 19.

Find the first term \(a\) and the sum of the first 12 terms.

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AP Q4

The sum of the terms of an arithmetic progression is 38.5.

The first term is 1 and the last term is 6.

Work out how many terms there are.

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AP Q5

The nth term of an arithmetic progression is

\(u_n=\frac{1}{2}(7-n)\).

Write down the first three terms and the 20th term.

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