Question
Find:
$10^{th}$ term of the $A.P. 1, 4, 7, 10, .....$
$10^{th}$ term of the $A.P. 1, 4, 7, 10, .....$
✓
Answer
Given $A.P.$ is
$1, 4, 7, 10, .....$
First term $(a) = 1$
Common difference $(d) =$ second term first term
$= 4 - 1$
$= 3.$
$n^{th}$ term in an $A.P. = a + (n - a)d$
$10^{th}$ term in an $1 + (10 - 1)3$
$= 1 + 9 × 3$
$= 1 + 27$
$= 28$
$1, 4, 7, 10, .....$
First term $(a) = 1$
Common difference $(d) =$ second term first term
$= 4 - 1$
$= 3.$
$n^{th}$ term in an $A.P. = a + (n - a)d$
$10^{th}$ term in an $1 + (10 - 1)3$
$= 1 + 9 × 3$
$= 1 + 27$
$= 28$
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