2. Neel made pattern by using match - stick as given below. If he need 97 stick, then find figure number.
Figure-3
(C) 47
(D) 46
Figure-1
(A) 48
Figure-2
(B) 49
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Answer:48
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Neel made pattern by using match - stick as given below. If he need 97 stick, then 48 is the figure number.
- Option (A) 48 is correct option.
- From given figure, we can construct a pattern,
- For,
- fig 1: 3 + 0 = 3
- fig 2: 3 + 2 = 5
- fig 3: 3 + 2 + 2 = 7
- this series continues further, so we have, [an = a+(n-1)d]
- = 3+2(n-1)
- given, a total of 97 sticks are needed
- Now,
- 97 = 3+2(n-1)
- 97 = 3 + 2n - 2
- 97 = 1 + 2n
- 96 = 2n
- ∴ n = 48
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