Question

Show that √2,√8,√18,√32-----are in AP. If it is in AP find 50th term of

given AP.​

Answer 1

Answer:

50√2 will be the 50th term of an A.P.

Step-by-step explanation:

•the given sequence can bs shown in A.P.

•If the common difference between two consecutive term is same.

Lets find out

= √8 - √2

= 2√2 - ✓2

= ✓2

And,

√32 - √18

= 4✓2 - 3✓2

= √2

Hence common difference is same for two consecutive terms

Therefore , the given sequence is in A.P..

50th term

= a + (50-1)*d. { • Tn = a + ( n-1 )*d}

= √2 + 49*√2

= 50✓2