The 7th term of an arithmetic sequence is 0 and the 27th term is 60. What is the 17th term?

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Question:

The 7th term of an arithmetic sequence is 0 and the 27th term is 60. What is the 17th term?

B45

C30

D15

Answer:

C. 30

Explanation:

7th term= 0 a + 6d = 0 ......(1) 27th term= 60 a + 26d = 60 ......(2) (2) - (1) 20d = 60 d = 60/20 = 3 a + 6d = 0 a + 6 × 3 = 0 a = -18 17th term= a + 16d = -18 + 16 × 3 = -18 + 48 = 30

Related Questions:

2 + 4 + 6+ ..... + 200 എത്ര?

In a theater, each row has a fixed number of seats compared to the one in front of it. The 3rd row has 38 seats, and the 7th row has 62 seats. If there are a total of 35 rows in the theater, how many seats are there in total?

Challenger

The 7th term of an arithmetic sequence is 0 and the 27th term is 60. What is the 17th term?

C. 30

Explanation:

2 + 4 + 6+ ..... + 200 എത്ര?

In a theater, each row has a fixed number of seats compared to the one in front of it. The 3rd row has 38 seats, and the 7th row has 62 seats. If there are a total of 35 rows in the theater, how many seats are there in total?

Which of the following is an arithmetic series?

3, 8, 13, 18, ... എന്ന ശ്രേണിയുടെ എത്രാമത്തെ പദമാണ് 78?