Advertisements
Advertisements
प्रश्न
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
12, 2, −8, −18, ...
उत्तर
In the given problem, we are given various sequences.
We need to find out that the given sequences are an A.P or not and then find its common difference (d)
12, 2, −8, −18, ...
Here,
First term (a) = 12
`a_1 = 2`
`a_2 = -8`
Now, for the given to sequence to be an A.P,
Common difference (d) = `a_1 - a = a_2 - a_1`
Here
`a_1 - a = 2 - 12`
= - 10
Also
`a_2 - a = -8 - 2`
= - 10
Since `a_1 - a = a_2 - a_1`
Hence, the given sequence is an A.P with the common difference d = -10
APPEARS IN
संबंधित प्रश्न
Write the first five terms of the sequence defined by `a_n = (–1)^(n-1) . 2^n`
Write the next two terms of A.P. whose first term is 3 and the common difference is 4.
Find next two terms of an A.P.
4, 9, 14, ......
Find the common difference and write the next four terms of each of the following arithmetic progressions:
1, −2, −5, −8, ...
Find the common difference and write the next four terms of each of the following arithmetic progressions:
0, −3, −6, −9, ...
The 7th term of an A.P. is 32 and its 13th term is 62. Find the A.P.
Find the 8th term from the end of the A.P. 7, 10, 13, ..., 184
First term a and common difference d are given below. Find the corresponding A.P.
a = `3/4`, d = `1/2`
Choose the correct alternative answer for the following sub question.
In an Arithmetic Progression 2, 4, 6, 8, ... the common difference d is ______
If k + 2, 4k – 6 and 3k – 2 are three consecutive terms of an A.P., then the value of k is ______.
