Ap gp

Asked by Subhamjha0834 | 13th May, 2019, 08:05: PM

Expert Answer:

Since it is given that the first three numbers forms an A.P.
 
Let the these three numbers be a - d, a , a + d.
 
a - d + a + d = 2   ... given
→ a = 1
 
Since it is given that the last three numbers forms an G.P.
 
Let the these three numbers be a, ar  and ar2 .
 
a + ar2 = 26  ... given
→a (1 + r2) = 26
 r2 = 25
→ r = ± 5
The numbers are a - d , a , a + d = ar , ar2.
 
a + d = ar 
→ 1 + d = 1 × ±5 
→ d = 4 or d = -6

When a= 1 and d = 4 and r = 5 then the numbers will be  -3, 1, 5, 25
and when a= 1 and d = -6 and r = -5 then the numbers will be  7, 1, -5, 25

Answered by Yasmeen Khan | 14th May, 2019, 10:18: AM