Advertisements
Advertisements
प्रश्न
Common difference, d = ? for the given A.P., 7, 14, 21, 28 ........
Activity :- Here t1 = 7, t2 = 14, t3 = 21, t4 = `square`
t2 − t1 = `square`
t3 – t2 = 7
t4 – t3 = `square`
Therefore, common difference d = `square`
उत्तर
Here t1 = 7, t2 = 14, t3 = 21, t4 = 28
t2 − t1 = 14 – 7 = 7
t3 – t2 = 7
t4 – t3 = 28 – 21 = 7
Therefore, common difference d = 7
APPEARS IN
संबंधित प्रश्न
If m times mth term of an A.P. is equal to n times its nth term, then show that (m + n)th term of the A.P. is zero.
The 13th term of an A.P. is four times its 3rd term. If its 5th term is 16, then find the sum of its first ten terms.
For what value of k will k + 9, 2k – 1 and 2k + 7 are the consecutive terms of an A.P?
If pth , qth and rth terms of an A.P. are a, b, c respectively, then show that
(i) a (q – r) + b(r – p) + c(p – q) = 0
(ii) (a – b) r + (b –¬ c) p + (c – a) q = 0
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
-10, -6, -2, 2 …
For an A.P., find S7 if a = 5 and d = 4.
Find the 18th term of the AP `sqrt2, 3sqrt2, 5sqrt2.....`
If 10 times the 10th term of an A.P. is equal to 15 times the 15th term, show that 25th term of the A.P. is zero.
The 7th term of an A.P. is 32 and its 13th term is 62. Find the A.P.
is the Consider the expression an = 3n2 + 1,AP .
Write the two terms of the A.P. 2,5,8,11,...
The ratio of 6th and 8th term of an A.P. is 7:9. Find the ratio of 9th term to 13th term
Priya earned ₹ 15,000 in the first month. Thereafter her salary increased by ₹ 1500 per year. Her expenses are ₹ 13,000 during the first year and the expenses increase by ₹ 900 per year. How long will it take for her to save ₹ 20,000 per month
Find the 12th term from the last term of the A.P – 2, – 4, – 6, … – 100
Two A.P.’s have the same common difference. The first term of one A.P. is 2 and that of the other is 7. Show that 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.
The nth term of an A.P. is given by an = 3 + 4n. The common difference is ______.
Which of the following form an AP? Justify your answer.
0, 2, 0, 2,...
Which of the following form an AP? Justify your answer.
`sqrt(3), sqrt(12), sqrt(27), sqrt(48)`
The next term of the A.P. : `sqrt(6), sqrt(24), sqrt(54)` is ______.
If k + 2, 4k – 6 and 3k – 2 are three consecutive terms of an A.P., then the value of k is ______.
