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The third term of GP is 4. Find the product of its first 5 terms ?
1. 44
2. 54
3. 45
4. 46

1 Answer

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Best answer
Correct Answer - Option 3 : 45

Concept:

Let us consider sequence a1, a2, a3 …. an is a G.P.

  • Common ratio = r = \(\frac{{{{\rm{a}}_2}}}{{{{\rm{a}}_1}}} = \frac{{{{\rm{a}}_3}}}{{{{\rm{a}}_2}}} = \ldots = \frac{{{{\rm{a}}_{\rm{n}}}}}{{{{\rm{a}}_{{\rm{n}} - 1}}}}\)
  • nth  term of the G.P. is an = arn−1

 

Calculation:

Given: Third term of GP = 4

So, a= ar2 = 4

Now, product of five time term is given by  = a ×  ar × ar2  × ar3 ×ar4   

= a5r10  

= (ar2)5 

= 45

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