he 5th and 8th terms of the sequence: 3, 6, 12, 24, . . . . . . are (a) 32 and 1024 (b) 36 and 72(c) 48 and 384(d) 243 and 6561(e) None of the above
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Given : a sequence 3 , 6 , 12 , 24 , ..............
To find : 5th and 8th terms of the sequence
Solution:
3 , 6 , 12 , 24 , ..............
Sequence is an GP ( geometric progression )
where a = First term = 3
& Common ratio r = 2
nth term of an GP = arⁿ⁻¹
5th term n = 5
= (3) 2⁵⁻¹ = 3 * 2⁴ = 3 * 16 = 48
8th term n = 8
= (3) 2⁸⁻¹ = 3 * 2⁷ = 3 * 128 = 384
5th Term = 48 & 8th term = 384
Option C is correct
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