the nine term of an AP is equal toseven time the second term and twelfth term exceed five times the third term by 2 find the first term and the common differences
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hola there
let the first term be a and common difference be d.
a9=7a2
a+8d =7(a+d)
-6a+d =0 ........(1)
a12=5a3+2
a+11d = 5(a+2d)+2
-4a +d = 2 ........(2)
subtrating (2) from (1)
-2a = -2
a=1
substituting in (1)
-6+d=0
d=6
hope it helps u :)
let the first term be a and common difference be d.
a9=7a2
a+8d =7(a+d)
-6a+d =0 ........(1)
a12=5a3+2
a+11d = 5(a+2d)+2
-4a +d = 2 ........(2)
subtrating (2) from (1)
-2a = -2
a=1
substituting in (1)
-6+d=0
d=6
hope it helps u :)
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