The sum of three numbers in G P is 14 If the first two terms are each increased - Maths - Sequences and Series

Question

The sum of three numbers in G P is 14 If the first two terms are
each increased by 1 and the third term decreased by 1, the
resulting numbers are in A P Find the numbers

Sunanta Meitei · Accepted Answer

Hi! Let the three numbers be a, ar, ar2

So, the three numbers in G P are 2, 2 × 2, 2 × (2)2 i e 2, 4, 8 Thus, the numbers are 2, 4 and 8 Cheers!

The sum of three numbers in G.P. is 14. If the first two terms are each increased by 1 and the third term decreased by 1, the resulting numbers are in A.P. Find the numbers.