The $n^{t h}$ term of a sequence is $3 n - 2 .$ Is the sequence an $A . P .$ If so find its $r^{t h}$ term.

Open in App

Solution

Given,

$a_{n} = 3 n - 2$

$a_{1} = 3 (1) - 2 = 1$

$a_{2} = 3 (2) - 2 = 4$

$a_{3} = 3 (3) - 2 = 7$

$a_{4} = 3 (4) - 2 = 10$

$d = 4 - 1 = 7 - 4 = 3$

As the common difference remains the same, the series is in A.P.

$a_{r} = 3 r - 2$

Suggest Corrections

Similar questions

Find the 5th term of an arithmetic sequence whose nth term is 3n - 2.

Find the sum of 10 terms if the nth term of a sequence is $3^{n}$ - 2.

S_{n} = \frac{4^{n} - 3^{n}}{3^{n}}

Join BYJU'S Learning Program