Question

If the 4th term ofan A.P. is 7 and the 7th term
is 4 show that the 11th term 0.​

Answer 1

Answer:

Hope it helps you!!!

Answer 2

Answer:

By the given,

⇒ 4th term  is 7,  

a+(4-1)d=7

a+3d=7 ...(1)

⇒ 7th term  is 4 ,

a+(7-1)d=4

a+6d=4 ....(2)

subtract eqn 1 and 2,

a+3d-a-6d= 7-4

-3d=3

→d=(-1)

substitute d in eqn 1,

a+3(-1)=7

a=7+3

→a=10

now, aₙ=a+(n-1)d

a₁₁=10+(11-1)(-1)

a₁₁=10-10

∴a₁₁=0

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