Question

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

1️⃣ c
2️⃣ 19
3️⃣ 20
4️⃣ 25​

Answer 1

Answer:

20 is the answer.

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Answer 2

Question :- The number of terms in the AP 2, 5, 8, …………., 59 is ………….

1) 17

2) 19

3) 20

4) 25

Solution :-

Let us assume that, the total terms in the AP is n .

we have given that,

• First term of AP = a = 2
• Common difference = d = second term - first term = 5 - 2 = 3
• Last term = an = 59 .
• total terms = n .

we know that,

• an = a + (n - 1)d .

putting all values we get,

→ 59 = 2 + (n - 1)3

→ 59 = 2 + 3n - 3

→ 59 = 3n - 1

→ 59 + 1 = 3n

→ 3n = 60

→ n = 20 (Option 3) (Ans.)

Hence, The number of terms in the given AP is 20.

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