Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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Let < an > Be a Sequence. Write the First Five Term in the Following: A1 = 1, an = an − 1 + 2, N ≥ 2 - Mathematics

Let < an > be a sequence. Write the first five term in the following:

a1 = 1, an = an − 1 + 2, n ≥ 2

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Solution

 a1 = 1, an = an − 1 + 2, n ≥ 2

\[a_2 = a_1 + 2 = 1 + 2 = 3\]

\[ a_3 = a_2 + 2 = 5\]

\[ a_4 = a_3 + 2 = 7\]

\[ a_5 = a_4 + 2 = 9\]

Hence, the five terms are 1, 3, 5, 7 and 9.

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 19 Arithmetic Progression
Exercise 19.1 | Q 4.1 | Page 4
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