Question

find common difference d and write 3 more terms for the AP underroot 2 , underroot 8 ,underroot 18 , underroot 32
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Answer 1

Step-by-step explanation:

explation is in pucture

Answer 2

Answer:

d = √2

The three more terms are √50, √72 and √98.

Step-by-step explanation:

√2, √8, √18, √32,......

The above A.P. can be written as follows,

√2, 2√2, 3√2, 4√2,.........

Now, we will find the common difference of the A.P.,

d = a2 - a1

d = 2√2 - √2

d = √2

Therefore, the common difference of the given A.P. is √2.

The three more terms of the A.P., i.e., a5, a6, a7 are,

a5 = a + 4d = √2 + 4√2 = 5√2 = √50

a6 = a + 5d = √2 + 5√2 = 6√2 = √72

a7 = a + 6d = √2 + 6√2 = 7√2 = √98

Hope this helps you!!!