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Find the nth term of the following sequence :
5 + 55 + 555 + ....... Tn
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- 5(10n – 1)
- 5n(10n – 1)
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5 (10n - 1) 9 -
5 
n (10n - 1) 9
Correct Option: C
Given , Series = 5 + 55 + 555 +....+ Tn
Series = 5(1 + 11 + 111 + ..... to n terms)
Multiplying and divided by 9 in series, we get
| Series = | (9 + 99 + 999 + ..... to n terms) | |
| 9 |
| = | {(10 – 1) + (10² –1) +.....+ (10n – 1)} | |
| 9 |
| ∴ nth term = | (10n – 1) | |
| 9 |
