Check whether the following sequence is in A.P. 12,13,14,15,... - Mathematics

Check whether the following sequence is in A.P.

`1/2, 1/3, 1/4, 1/5, ...`

Sum

`1/2, 1/3, 1/4, 1/5, ...`

t₂ – t₁ = `1/3 - 1/2 = (2 - 3)/6 = (-1)/6`

t₃ – t₂ = `1/4 - 1/3 = (3 - 4)/12 = (-1)/12`

t₂ – t₁ ≠ t₃ – t₂

The sequence is not in A.P.

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Chapter 2: Numbers and Sequences - Exercise 2.5 [Page 61]

Chapter 2 Numbers and Sequences
Exercise 2.5 | Q 1. (ii) | Page 61

The 14^th term of an A.P. is twice its 8^th term. If its 6^th term is -8, then find the sum of its first 20 terms.

The first three terms of an AP respectively are 3y – 1, 3y + 5 and 5y + 1. Then y equals:

(A) –3
(B) 4
(C) 5
(D) 2

Find the middle term of the A.P. 213, 205, 197, ---, 37.

For the following A.Ps, write the first term and the common difference.

0.6, 1.7, 2.8, 3.9

Find the 10^th term of the A.P. −40, −15, 10, 35, ...

Find the 8^thterm from the end of the A.P. 7, 10, 13, ..., 184

The 24^th term of an A.P. is twice its 10^th term. Show that its 72^nd term is 4 times its 15^thterm.

1, 7, 13, 19 ...... find 18^th term of this A.P.

If a, b, c, d, e are in A.P., then the value of a - 4b + 6c - 4d + e is ______.

The next term of the A.P. : `sqrt(6), sqrt(24), sqrt(54)` is ______.