Question

what will be the 50th number in this sequence? 5,11,17,23,29,35,41......​

Answer 1

It is a arithmetic progression series

so by the formula a+(n-1)*d

a=5

d=6

n=50

so keeping in the formula 5+(50-1)*6=299

hence the 50th term is 299

Answer 2

Given:

A sequence: 5 , 11 , 17 , 23 , 29 , 35 , 41

To find :

The 50th number in this sequence.

Formula to be used:

$t_n$ = a + ( n - 1 ) d

Solution:

The given sequence, 5 , 11 , 17 , 23 , 29 , 35 , 41 is in A.P

Therefore,

a = 5

d = $t_2 - t_1$

d = 11 - 5

d = 6

We can find the 50th term using the following formula,

$t_n$ = a + ( n - 1 ) d

Here, n = 50

$t_{50}$ = 5 + (50 - 1)6

$t_{50}$ = 5 + (49)6

$t_{50}$ = 5 + 294

$t_{50}$ = 299

Final answer:

The 50th number in the sequence, 5 , 11 , 17 , 23 , 29 , 35 , 41  is 299.