Question

find the 10 term of the sequence ✓2, ✓8, ✓18
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Answer 1

Hey mate ✌✌

Answer:

For the above sequence finding 10 th term is not possible .

Because the sequence don't have common difference ( d ) .

The a.p should have common difference same then we can easily find its 10 th term .

As , a10 = a+9d

Hope it helps you :--)

Answer 2

Answer:

10√2

Step-by-step explanation:

√2 , √8 , √18 ..., is the given series.

√8 = √ ( 2 × 2 × 2 ) = 2√2

√18 = √( 2 × 3 × 3 ) = 3√2

Therefore ,

Series is ,

√2 , 2√2 , 3√2 , ... Is an A.P.

First term = √2

Common difference = a2 - a1

= 2√2 - √2

d = √2

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

Here n = 10 ,

a = √2

d = √2

10th term = a10

= a + ( 10 - 1 ) d

= a + 9d

= √2 + 9×√2

= 10√2

Therefore ,

10th term in a given sequence

= 10√2.