Answer:
a(5) = 96
Step-by-step explanation:
Please use this notation: a(1) = 6 and a(n) = 2a(n - 1).
In other words, each new term is twice the previous term.
Therefore, a(2) = 2a(1) = 2(6) = 12, and
a(3) = 2(12) = 24, and
a(4) = 48, and, finally,
a(5) = 96
Fifth term of the given sequence is equals to 96.
" A sequence is defined as the arrangement of the given numbers or the object in such a way it represents some pattern or a mathematical rule."
According to the question,
Given,
First term of the sequence a1 = 6
Nth term of the sequence an = 2a(n - 1)
Substitute the different values of 'n' in the given sequence we get,
n = 2
a2 = 2a(2-1)
= 2a1
= 2 × 6
= 12
n= 3
a3 = 2a(3-1)
= 2a2
= 2 ×1 2
= 24
n= 4
a4 = 2a(4 - 1)
= 2a3
= 2 × 24
= 48
Fifth term of the given sequence
n = 5
a5 = 2a(5 - 1)
= 2a4
= 2 × 48
= 96
Hence, fifth term of the given sequence is equals to 96.
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