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  • For the following APs, write the first term and the common difference: (iii) 1/3, 5/3, 9/3, 13/3, ...

Q : 3      For the following APs, write the first term and the common difference:

              (iii)     \small \frac{1}{3},\frac{5}{3},\frac{9}{3},\frac{13}{3},...

Answers (1)

best_answer

Given AP series is

\small \frac{1}{3},\frac{5}{3},\frac{9}{3},\frac{13}{3},...

Now, the first term of this AP series is \frac{1}{3}

Therefore,

The first term of AP series (a) = \frac{1}{3}

Now,

a_1=\frac{1}{3} \ \ and \ \ a_2 = \frac{5}{3}

And common difference (d)  = a_2-a_1 = \frac{5}{3}-\frac{1}{3} = \frac{5-1}{3} =\frac{4}{3}

Therefore, the first term and the common difference is \frac{1}{3} and  \frac{4}{3} respectively 

Posted by

Gautam harsolia

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