Advertisements
Advertisements
प्रश्न
Which of the following sequences are A.P.? If they are A.P. find the common difference.
2, 4, 6, 8, ...
उत्तर
The given sequence is 2, 4, 6, 8, ....
Here, t1 = 2, t2 = 4, t3 = 6, t4 = 8
∴ t2 – t1 = 4 – 2 = 2
∴ t3 – t2 = 6 – 4 = 2
∴ t4 – t3 = 8 – 6 = 2
The difference between two consecutive terms is constant.
∴ The given sequence is an A.P. and common difference (d) = 2.
संबंधित प्रश्न
Find the sum of first 100 even number which are divisible by 5.
In an AP, the first term is 2, the last term is 29 and the sum of all the terms is 155. Find the common difference.
An AP 5, 12, 19, .... has 50 term. Find its last term. Hence, find the sum of its last 15 terms.
The sum of the 4th and 8th terms of an AP is 24 and the sum of its 6th and 10th terms is 44. Find the sum of its first 10 terms.
The sum of fist m terms of an AP is ( 4m2 - m). If its nth term is 107, find the value of n. Also, Find the 21st term of this AP.
Find the number of terms of the AP -12, -9, -6, .., 21. If 1 is added to each term of this AP then the sum of all terms of the AP thus obtained.
A man saved ₹33000 in 10 months. In each month after the first, he saved ₹100 more than he did in the preceding month. How much did he save in the first month?
A man arranges to pay off debt of ₹36000 by 40 monthly instalments which form an arithmetic series. When 30 of the installments are paid, he dies leaving on-third of the debt
unpaid. Find the value of the first instalment.
Find the sum of all three digit natural numbers, which are multiples of 11.
Is the following sequences are A.P.? If is A.P. find the common difference.
0.3, 0.33, 0.333,...
Write the correct number in the given boxes from the following A. P.
–3, –8, –13, –18,...
Here t3 = , t2 =
, t4 =
, t1 =
,
t2 – t1 = , t3 – t2 =
∴ a =
, d =
Multiply : 2`sqrt(12) × sqrt(3)`
A = {1, 2, 3,4, 5}, B = {5, 6, 7} write AUB .
Write the lower and the uppper class limit of 35 to 40
In the A.P. 2, –2, –6, –10, ..... common difference (d) is ______.
Amit saves a certain amount every month in a specific way. In the first month, he saves Rs. 200, in the second month Rs. 250, in the third month Rs.300 and so on. How much will be his total savings in 17 months?
Find S2 for the A.P. 3,5,7,9,......
Find the value of the determinate:
`|(4,-2),(3,1)|`
If for an A.P. the first term is 2 and the common difference is 3, then find first three-term of A.P.