1 + 3 + 6 + 10 + 15 + … Solution: Let Tn represent the nth term and let Sn be the sum to n terms of the given series. According to the question, we have: $ {{S}_{n}}~=\text{ }1\text{ }+\text{...
Sum the following series to n terms:
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Exercise 21.2
Sum the following series to n terms:
3 + 7 + 14 + 24 + 37 + … Solution: Let Tn be the nth term and Sn be the sum to n terms of the given series. We have, Sn = 3 + 7 + 14 + 24 + 37 + …………. + Tn-1 + Tn … (1) Equation (1) can be rewritten...
Sum the following series to n terms:
1 + 3 + 7 + 13 + 21 + … Solution: Let Tn represent the nth term and let Sn represent the sum to n terms of the given series. According to the question: $ {{S}_{n}}~=\text{ }1\text{ }+\text{ }3\text{...
Sum the following series to n terms:
2 + 5 + 10 + 17 + 26 + ……….. Solution: Let Tn and Sn be the nth term and the sum of n terms respectively, of the given series. Then, we have: $ {{S}_{n}}~=\text{ }2\text{ }+\text{ }5\text{ }+\text{...
Sum the following series to n terms:
3 + 5 + 9 + 15 + 23 + …………. Solution: Let Tn and Sn be nth term and the sum of n terms respectively, of the given series. Then, according to the question: $ {{S}_{n}}~=\text{ }3\text{...