Advertisements
Advertisements
प्रश्न
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
3, 6, 12, 24, ...
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)
3, 6, 12, 24, ...
Here
First term (a) = 3
`a_1 = 6`
`a_2 = 12`
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 = 6 - 3`
= 3
Also
`a_2 - a_1 = 12 - 6`
= 6
Since `a_1 - a != a_2 - a_1`
Hence, the given sequence is not an A.P
APPEARS IN
संबंधित प्रश्न
The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms is 7: 15. Find the numbers.
How many three digit numbers are divisible by 7?
If (m + 1)th term of an A.P. is twice the (n + 1)th term, then prove that (3m + 1)th term is twice the (m + n + 1)th term
Choose the correct alternative answer for the following sub question
In an A.P., 0, – 4, – 8, – 12, ... find t2 = ?
Find 27th and nth term of given A.P. 5, 2, – 1, – 4, ......
Justify whether it is true to say that `-1, - 3/2, -2, 5/2,...` forms an AP as a2 – a1 = a3 – a2.
Two APs have the same common difference. The first term of one AP is 2 and that of the other is 7. The difference between their 10th terms is the same as the difference between their 21st terms, which is the same as the difference between any two corresponding terms. Why?
Find a, b and c such that the following numbers are in AP: a, 7, b, 23, c.
The eighth term of an AP is half its second term and the eleventh term exceeds one third of its fourth term by 1. Find the 15th term.
If d = – 5, n = 10, an = 68, then find the first term.
