Latest Others Aptitude Question SOLUTION: The 3rd and 12th terms of an arithmetic progression are 12 and -24 respectively. What is the 50th term?

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The 3rd and 12th terms of an arithmetic progression are 12 and -24 respectively. What is the 50th term?

Asked In Others Vignesh (12 years ago)

Solved Sagar Jinachandran Read Solution (2)

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Sagar Jinachandran  (12 years ago)

we know that
nth term of an ap is
an=a+(n-1)d
where an= nth term
a= first term
d= difference
case 1
a3= a+(3-1)d=a+2d=12 -----(1)
a12= a+11d= -24 ----- (2)
2-1
we get 9d=-36
d=-4
substituting value of d in (1)
a3=a+2(-4)=>a-8=12
=>a=20
so 20 is the first term
50th term
a50= a+49d
=20+49(-4)=-176

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sairam  (12 years ago)

answer is -176...first term is 20 and common difference is 4

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