Question

Find the 21st term of AP 5,10,15,20 which term of the AP is 2050

Answer 1

Answer:

104 and 410th term

Step-by-step explanation:

nth term of AP is given by a + ( n - 1 )d, where a is first term and d is common difference.

Here,

a = first term = 5

d = com. dif. = 10 - 5 = 5

Therefore,

21st term = a + ( 21 - 1 )d

= 5 + ( 20 )5

= 5 + 100

= 105

Let 2050 be the nth term,

= > 2050 = a + ( n - 1 )d

= > 2050 = 5 + ( n - 1 )5

= > 2045 = ( n - 1 )5

= > 409 = n - 1

= > 410 = n

Required term is 410th.