SSLC (English Medium) Class 10 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Find the sum of first six terms of the G.P. 5, 15, 45, …

Find the first term of the G.P. whose common ratio 5 and whose sum to first 6 terms is 46872

Find the sum to infinity of 9 + 3 + 1 + ….

Find the sum to infinity of `21 + 14 + 28/3 + ...`

If the first term of an infinite G.P. is 8 and its sum to infinity is `32/3` then find the common ratio

Find the sum to n terms of the series

0.4 + 0.44 + 0.444 + …… to n terms

Find the sum to n terms of the series

3 + 33 + 333 + ………… to n terms

Find the sum of the Geometric series 3 + 6 + 12 + …….. + 1536

Kumar writes a letter to four of his friends. He asks each one of them to copy the letter and mail to four different persons with the instruction that they continue the process similarly. Assuming that the process is unaltered and it costs ₹ 2 to mail one letter, find the amount spent on postage when 8^th set of letters is mailed

Find the rational form of the number `0.bar(123)`

If S_n = (x + y) + (x² + xy + y²) + (x³ + x²y + xy² + y³) + ... n terms then prove that (x – y)S_n = `[(x^2(x^"n" - 1))/(x - 1) - (y^2(y^"n" - 1))/(y - 1)]`

A man saved ₹ 16500 in ten years. In each year after the first, he saved ₹ 100 more than he did in the preceding year. How much did he save in the first year?

Find the G.P. in which the 2^nd term is `sqrt(6)` and the 6^th term is `9sqrt(6)`

Find the sum of the following series

1 + 2 + 3 + ... + 60

Find the sum of the following series

3 + 6 + 9 + ... + 96

Find the sum of the following series

51 + 52 + 53 + ... + 92

Find the sum of the following series

1 + 4 + 9 + 16 + ... + 225

Find the sum of the following series

6² + 7² + 8² + ... + 21²

Find the sum of the following series

10³ + 11³ + 12³ + ... + 20³

Find the sum of the following series

1 + 3 + 5 + ... + 71