Which of the following sequences are in arithmetic progression ? (i) 2, 6, 10, 14, ....... (ii) 15, 12, 9, 6, ...... (iii) 5, 9, 12, 18, ...... (iv)

(i) Since, 6 - 2 = 4, 10 - 6 = 4 and 14 - 10 = 4 ⇒ Difference between consecutive terms is the same i.e. 4. Hence, the given terms are in A.P. (ii) Since, 12 - 15 = -3, 9 - 12 = -3 and 6 - 9 = -3 ⇒ Difference between consecutive terms is the same i.e. -3. Hence, the given terms are in A.P. (iii) Since, 9 - 5 = 4, 12 - 9 = 3 and 18 - 12 = 6 ⇒ Difference between consecutive terms is different. Hence, the given terms are not in A.P. (iv) Since, ⇒ Difference between consecutive terms is different. Hence, the given terms are not in A.P.

Can 2n² - 7 be the n^th term of an A.P. Explain.

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Find the sum of the A.P.; 14, 21, 28, ……., 168.

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The first term of an A.P. is 20 and the sum of its first seven terms is 2100; find the 31^st term of this A.P.

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Find the sum of last 8 terms of the A.P.
-12, -10, -8, …….., 58.

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Mathematics

Which of the following sequences are in arithmetic progression ? (i) 2, 6, 10, 14, ....... (ii) 15, 12, 9, 6, ...... (iii) 5, 9, 12, 18, ...... (iv)

AP

Related Questions

Can 2n² - 7 be the n^th term of an A.P. Explain.

Find the sum of the A.P.; 14, 21, 28, ……., 168.

The first term of an A.P. is 20 and the sum of its first seven terms is 2100; find the 31^st term of this A.P.

Find the sum of last 8 terms of the A.P.
-12, -10, -8, …….., 58.

Mathematics

Which of the following sequences are in arithmetic progression ? (i) 2, 6, 10, 14, ....... (ii) 15, 12, 9, 6, ...... (iii) 5, 9, 12, 18, ...... (iv)

AP

Related Questions

Can 2n2 - 7 be the nth term of an A.P. Explain.

Find the sum of the A.P.; 14, 21, 28, ……., 168.

The first term of an A.P. is 20 and the sum of its first seven terms is 2100; find the 31st term of this A.P.

Find the sum of last 8 terms of the A.P.-12, -10, -8, …….., 58.

Can 2n² - 7 be the n^th term of an A.P. Explain.

The first term of an A.P. is 20 and the sum of its first seven terms is 2100; find the 31^st term of this A.P.

Find the sum of last 8 terms of the A.P.
-12, -10, -8, …….., 58.