The common difference of an ap is 8 and its 7th term is 45 find the 12th term and position of 285 in this sequence?
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Step-by-step explanation:
Given: d=8, A7=45, a12=?,. an=285 n=?
a+6d=45
a+6(8)=45
a=45-48=-3
a12=a+11d
=-3+11(8)
=-3+88=85.
an=a+(n-1)d
285=-3+(n-1)8
285+3=(n-1)8
288/8=n-1
36+1=n
37=n
285 is 37th term of the given ap.
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