Math, asked by Hbhadouriya4383, 1 year ago

If the 8th term of an ap is 0 show that the 20th term is thrice the 12th term

Answers

Answered by MBrainliest
8
a8 = 0
=> a + 7d = 0
=> a = -7d

a20 = a + 19d = -7d + 19d = 12d......(1)
a12 = a +11d = -7d +11d = 4d.......(2)

dividing equation (1) by equation (2),

a20/a12 = 12d/4d
=> a20/ a12 = 3
=> a20 = 3 × a12

Hence, proved

Hope it helps, if it does,
plz mark as BRAINLIEST!!!
Answered by geoitagms
5

Answer:

Step-by-step explanation:

a8 = 0

=> a + 7d = 0

=> a = -7d

So

a20 = a + 19d = -7d + 19d = 12d......(1)

a12 = a +11d = -7d +11d = 4d.......(2)

dividing equation (1) by equation (2),

We get

a20/a12 = 12d/4d

=> a20/ a12 = 3

=> a20 = 3 × a12

Hence, proved

Hope it helps, if it does,

plz mark as BRAINLIEST!!!

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