21th term of the AP - 12,-8. - 4...
1) 62
2) 60
3) 76
4) 72
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Given options have a mistake, if I am correct.
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Answer:
The 21ˢᵗ term of the A.P. is 68.
Step-by-step-explanation:
The given AP is - 12, - 8, - 4, ....
a = t₁ = - 12
d = t₂ - t₁ = - 8 - ( - 12 ) = - 8 + 12 = 4
We have to find the 21st term of the A.P.
We know that,
tₙ = a + ( n - 1 ) * d - - - [ Formula ]
⇒ t₂₁ = - 12 + ( 21 - 1 ) * 4
⇒ t₂₁ = - 12 + 20 * 4
⇒ t₂₁ = - 12 + 80
⇒ t₂₁ = 68
∴ The 21ˢᵗ term of the A.P. is 68.
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