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1. The general equation of an AP is given as,
,
---(I)
,
Making a subject of formula in both,
and
Therefore;
Gathering like terms;
hence:
Putting
.
in (I)
,
Hence:
, the first term
The sum of n terms of an AP is given as,
---(II)
The sum of n terms of an Arithmetic Progression can also be represented by
,
.
i)
ii)
.
1.
a=8
Common difference (d) =
= 44 - 38 = 6.
For A, n=2
For B, n=3
For C, n=4
For D, n=5
3The nth term of a Geometric Progression is given as
Using Laws of Indices
Therefore;