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Find the Sixth Term of the Series : 22, 23, 24,................... - Mathematics

Sum

Find the sixth term of the series :
22, 23, 24,...................

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Solution

Given sequence: 22, 23, 24,...................
Now,

`2^3/2^2=2, 2^4/2^3=2`

Since `2^3/2^2=2^4/2^3=........=2,` the given sequence is a G.P. with first term, a = 22 = 4 and common ratio, r = 2.
Now, tn = arn-1

∴ t6 = 4 x (2)5 = 4 x 32 = 128

Concept: Geometric Progression - Finding Their General Term.
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 11 Geometric Progression
Exercise 11 (A) | Q 8 | Page 152
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