in an AP given a3=21,S10=255,find d and a10
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a3=21,S10=255,find d and a10
an=a+(n-1)d
a3=a+2d=21 (eq1)*2
42=2a+4d
sn=n/2(2a+(n-1)d)
255=10/2(2a+9d)
51=2a+9d eq 2
eq(2-1)
51=2a+9d
-42=-2a-4d
-----------------
9=5d
d=9/5 sub in 1
21=a+18/5
105=5a+18
87/5=a
a10=a+9d
=87/5+9*(9/5)
=168/5
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