Question

Find the next three term of AP √2√8√18

Answer 1

Answer:

a4=4√2.

Step-by-step explanation:

Given sequence is √2 , √8, √18,...

a1 = √2 ,

a2 = √8 = √ ( 2 × 2 ) ×2 = 2√2

a3 = √18 = √ ( 3 × 3 ) × 2 = 3 √2

First term (a ) = a1 = √2

a2 - a1 = 2√2 - √2 = √2

a3 - a2 = 3√2 - 2√2 = √2

Therefore ,

a2 - a1 = a3 - a2 = √2

Common difference (d) = √2

The given sequence is in A.P .

nth term = an = a + ( n-1 ) d

14th term of the A.P = a4

a4 = a + ( 4 - 1 ) d

= a + 3d

= √2 + 3 × √18

= √2 + 3√2

= 4√2

4th term of the given A.P = 4√2

Or

a4 = 4√2

hope it's helps you...

Answer 2

√2 = √2

√8 = 2√2

√18 = 3√2

Next three terms are

a + (n - 1)d

= 4√2, 5√2, 6√2