मराठी

If the first and the third terms of a G.P. are 2 and 8 respectively, find its second term. - Mathematics

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प्रश्न

If the first and the third terms of a G.P. are 2 and 8 respectively, find its second term.

बेरीज

उत्तर

Let the first term of the G.P. be a and its common ratio be r.

∴ 1st term = a = 2

And 3rd term = 8 `=>` ar= 8

Now, `(ar^2)/a = 8/2`

`=>` r2 = 4

`=>` r = 2

When a = 2 and r = 2

2nd term = ar = 2 × 2 = 4

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Simple Applications - Geometric Progression
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पाठ 11: Geometric Progression - Exercise 11 (B) [पृष्ठ १५४]

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सेलिना Mathematics [English] Class 10 ICSE
पाठ 11 Geometric Progression
Exercise 11 (B) | Q 4 | पृष्ठ १५४
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