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प्रश्न
Find the number of terms in the following G.P.
4, 8, 16, …, 8192?
उत्तर
4, 8, 16, …, 8192
| Hint: | |
| 2 | 2048 |
| 2 | 1024 |
| 2 | 512 |
| 2 | 256 |
| 2 | 128 |
| 2 | 64 |
| 2 | 32 |
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 | |
a = 4
r = `8/4` = 2
tn = 8192
tn = arn–1
8192 = 4 × 2n–1
4 × 2n–1 = 8192
2n–1 = 2048
2n–1 = 211
n – 1 = 11
n = 11 + 1 = 12
∴ No. of terms = 12
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