Question

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 1

Answer:48

Step-by-step explanation:

See the attachment

Answer 2

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