Arithmetic Progression
8th term of an AP is 37 and its 12th term is 57. Find the AP.
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Step-by-step explanation:
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steps:
t 8 = 37 n=8 t 12 =57 n =12
tn = a+(n-1)d tn = a+(n-1)d
t 8=a+(8-1)d t 12 =a + (12-1)d
37= a+ 7d------------1 57= a+11d------------2
solve equation 2 and 1
a+11d = 57
a+7d =37
4d=20
d = 20/4 d=5
substitute d=5 in equation 1
a+11(5)=57
a+55=57
a=57-55 a=2
2,7,12,17,22
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