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sasho [114]
3 years ago
8

MATHS :

Geography
1 answer:
user100 [1]3 years ago
3 0

Given five terms are: 6, 10.5, 15, 19.5, 24

To find: The n_{th} term expressed in terms of n.

The first term a_1 = 6

Common difference d=10.5-6=4.5

The n_{th} term of a_n AP is given by the following expression:

a_n=a_1+d(n-1)\\a_n=6+4.5(n-1)\\a_n=6+4.5n-4.5\\a_n=1.5+4.5n

Let's check:

a_1=1.5+4.5×1=6\\a_2=1.5+4.5×2=10.5\\a_3=1.5+4.5×3=15\\etc

<em><u>Answer</u></em>: a_n=1.5+4.5n

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