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Find the sum of first five terms of the following series :
1 + 1 + 1 + .......... + ......... 1 × 4 4 × 7 7 × 10
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9 32 -
7 16 -
5 16 -
1 210
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Correct Option: C
From the given question ,
Expression = | + | + | + | + | |||||
1 × 4 | 4 × 7 | 7 × 10 | 10 × 13 | 13 × 16 |
Expression = | 1 - | + | - | ......... + | - | ||||||||||||||
3 | 4 | 3 | 4 | 7 | 3 | 13 | 16 |
Expression = | 1 - | + | - | + | - | + | - | + | - | ||||||||||||
3 | 4 | 4 | 7 | 7 | 10 | 10 | 13 | 13 | 16 |
Expression = | 1 - | Expression = | × | = | |||||||
3 | 16 | 3 | 16 | 16 |