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Home » 1. Write the first five terms of each of the following sequences whose term are: (ix) An arithmetic progressions or arithmetic sequence is a number’s sequence such that the difference between the consecutive terms is constant.
1. Write the first five terms of each of the following sequences whose {{n}^{th}} term are: (ix) {{a}_{n}}=\left( 2n-3 \right)/6 An arithmetic progressions or arithmetic sequence is a number’s sequence such that the difference between the consecutive terms is constant.
Arithmetic Progression | Class 10 | ICSE | Maths | RD Sharma
1. Write the first five terms of each of the following sequences whose {{n}^{th}} term are: (ix) {{a}_{n}}=\left( 2n-3 \right)/6 An arithmetic progressions or arithmetic sequence is a number’s sequence such that the difference between the consecutive terms is constant.

Solutions:

(ix) {{a}_{n}}=\left( 2n-3 \right)/6

Given sequence whose,
{{a}_{n}}=\frac{2n-3}{6}

To get the first five terms of the sequence we put n=1,2,3,4,5.

And, we get

{{a}_{1}}=\frac{2.1-3}{6}=\frac{2-3}{6}=\frac{-1}{6}

{{a}_{2}}=\frac{2.2-3}{6}=\frac{4-3}{6}=\frac{1}{6}

{{a}_{3}}=\frac{2.3-3}{6}=\frac{6-3}{6}=\frac{3}{6}=1/2

{{a}_{4}}=\frac{2.4-3}{6}=\frac{8-3}{6}=\frac{5}{6}

a{}_{5}=\frac{2.5-3}{6}=\frac{10-3}{6}=\frac{7}{6}

\therefore the required first five terms of the sequence are -1/6,1/6,1/2,5/6and7/6

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