How do i find the tenth term if the first term is 12 and common difference is 3?

2 Answers
Feb 4, 2018

a_(10)=39

Explanation:

"for an "color(blue)"arithmetic sequence"

"the nth term is "

•color(white)(x)a_n=a+(n-1)d

"where a is the first term and d the common difference"

rArra_(10)=12+(9xx3)=12+27=39

Feb 4, 2018

The n^(th) term of an Arithmetic Progression is given by,
a_n = a + (n-1)d

For the 10^(th) term, with the given details,
n=10 ; a=12; d=3

a_10 = 12 + (9)3
a_10 = 12 + 27
a_10 =39

So, the tenth term is 39 !:)