Question

*The number of terms in the AP 2, 5, 8, …………., 59 is ………….*

1️⃣ c
2️⃣ 19
3️⃣ 20
4️⃣ 25​

Answer 1

$\sf{Answer}$

Step by step explanation:-

Given :-

In A.P 2 , 5 , 8 .... , 59 terms

To find :-

Number of terms

Formula Implemented:-

an = a + ( n- 1 ) d

Where

an = last term

a = first term

n = no.of terms

d = common difference

____________________________

Solution:-

2, 5 , 8, ...59

a = first term

a = 2

an = last term

an = 59

d = common difference

5 -2 = 3

8 - 5 =3

So, d=3

Plugging values in formulae

an = a + ( n- 1 ) d

59 = 2 + (n-1) 3

59 = 2 + 3n -3

59 = 3n -1

59 + 1 = 3n

60 = 3n

n = 60/3

n = 20

Hence There are 20 terms in Given A.P sequence

Hence correct answer is option 3