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