You visited us 2 times! Enjoying our articles? Unlock Full Access!

Permutations and Combinations

The sum of 'n...

Question

The sum of 'n' terms of an A.P. is given by $3 n^{2}$ + $5 n$ then what is the value of $29^{t h}$ term

146

No worries! We‘ve got your back. Try BYJU‘S free classes today!

176

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

342

No worries! We‘ve got your back. Try BYJU‘S free classes today!

174

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 176
$S_{n} = 3 n^{2} + 5 n$

$S_{1} = a_{1} = 3 + 5 = 8$

$S_{2} = 3 (2)^{2} + 5 (2) = 22$

$a_{1} + a_{2} = 22$

$8 + a_{2} = 22$

$a_{2} = 14$

Therefore, $d = a_{2} - a_{1} = 14 - 8 = 6$

Hence,

$a_{29} = a + 28 d = 8 + 28 (6) = 176$

Suggest Corrections

Similar questions

n

A . P .

3 n^{2} + 5 n

A . P .

152

n

3 n^{2} + 5 n

T_{m} = 164

3 n^{2} + 5 n

T_{m} = 164

S n = 3 n^{2} + 5 n

If the sum of n terms of an A.P. is 3 $n^{2}$ + 5n and $T_{m}$ = 164 then m = ?

Join BYJU'S Learning Program