How i solve the best question of arithmetic progressions of exercise 5.1 of class 10th math. I don’t know how to solve this question, in easy way Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.(xii) √2, √8, √18, √32 …
AnilSinghBoraGuru
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.(xii) √2, √8, √18, √32 … Q.4(12)
Share
Here,
a2 – a1 = √8-√2 = 2√2-√2 = √2
a3 – a2 = √18-√8 = 3√2-2√2 = √2
a4 – a3 = 4√2-3√2 = √2
Since, an+1 – an or the common difference is same every time.
Therefore, d = √2 and the given series forms a A.P.
Hence, next three terms are;
a5 = √32+√2 = 4√2+√2 = 5√2 = √50
a6 = 5√2+√2 = 6√2 = √72
a7 = 6√2+√2 = 7√2 = √98