consider the arithmetic sequence -172,-165,-158,..... a.what is its common
difference
b.what is the algebraic form of this sequence?
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Answer:
its common difference is 7
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A.P : – 172, – 165, – 158 ......
a) Common difference, d = a2 – a1
d = – 165 + 172
d = 7
b) first term, a = – 172
An = a + [ (n – 1) d ]
An = – 172 + ( 7d – 7 )
An = – 172 – 7 + 7d
An = 7d – 179
Algebraic form is An = 7d – 179
where An = nth term of the A.P
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