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Question

Question: If \(\frac { 3 + 5 + 7 + \ldots \ldots . + \mathrm { n } \text { terms } } { 5 + 8 + 11 + \ldots \l...

If 3+5+7+.+n terms 5+8+11++10 terms \frac { 3 + 5 + 7 + \ldots \ldots . + \mathrm { n } \text { terms } } { 5 + 8 + 11 + \ldots \ldots + 10 \text { terms } } = 7 then value of n is –

A

35

B

36

C

37

D

40

Answer

35

Explanation

Solution

n2(6+(n1)2)102(10+9×3)\frac { \frac { \mathrm { n } } { 2 } ( 6 + ( \mathrm { n } - 1 ) 2 ) } { \frac { 10 } { 2 } ( 10 + 9 \times 3 ) } = 7 ̃ = 7

̃ n(n+2)5(37)\frac { \mathrm { n } ( \mathrm { n } + 2 ) } { 5 ( 37 ) } = 7 ̃ n = 35