Math, asked by souravhoon, 1 year ago

9th term is equal to 6 times of 2nd term of an A.P & 5th term of an a.p is 22 find the A.P

Answers

Answered by marvelous26
6
your answer is 2 ,7 ,12 ,.... where a=2 ,d=5

souravhoon: please do full calculation
Answered by BrainlyConqueror0901
110

Answers:

\huge{\boxed{\boxed{\sf{A.P=2,7,12,17.....}}}}

Step-by-step explanation:

\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}

a9=6(a2)

a5=22

A.P=?

>>According to the question:

a9 = 6(a2) \\ a + 8d = 6(a + d) \\ a + 8d = 6a + 6d \\ a - 6a + 8d - 6d = 0 \\ 2d - 5a = 0 -  -  -  -  - (1) \\  \\ a5 = 22 \\ a + 4d = 22 -  -  -  -  - ( 2)  \\  \\ multiplying \: 2 \: in \: (1) \: and \: 1 \: in \: (2) \\ 4d - 10a = 0 -  -  -  -  - (3) \\ a + 4d = 22 -  -  -  -  - (4) \\ subtracting \:( 4) \: from \: (3) \\ 4d - 10a - a - 4d = 0 - 22 \\  - 11a =  - 22 \\ a =  \frac{ - 22}{ - 11}  \\ a = 2 \\  \\putting \: value \: of \: a \: in \: (3) \\ 4d - 10 \times 2 = 0 \\ 4d = 20 \\ d =  \frac{20}{4}   \\ d = 5

\huge{\boxed{\boxed{\sf{A.P=2,7,12,17.....}}}}

_________________________________________

Similar questions