Advertisements
Advertisements
प्रश्न
Which of the following sequences are A.P.? If they are A.P. find the common difference.
–10, –6, –2, 2,...
उत्तर
–10, –6, –2, 2...
t1 = -10, t2 = -6, t3 = -2, t4 = 2
d1 = t2 - t1
= -6 - (-10)
= -6 + 10
= 4
d2 = t3 - t2
= -2 - (-6)
= -2 + 6
= 4
d3 = t4 - t3
= 2 - (-2)
= 2 + 2
= 4
d1 = d2 = d3 = 4
The given sequence is an A.P.
APPEARS IN
संबंधित प्रश्न
The 16th term of an AP is 5 times its 3rd term. If its 10th term is 41, find the sum of its first 15 terms.
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.
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.
There are 25 trees at equal distance of 5 m in a line with a water tank, the distance of the
water tank from the nearest tree being 10 m. A gardener waters all the trees separately,
starting from the water tank and returning back to the water tank after watering each tree to get water for the next. Find the total distance covered by the gardener in order to water all the trees.
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?
The sum of the first 7 terms of an A.P. is 63 and the sum of its next 7 terms is 161. Find the 28th term of this A.P ?
Find the sum of all three digit natural numbers, which are multiples of 11.
Which of the following sequences are A.P.? If they are A.P. find the common difference.
Which of the following sequences are A.P. ? If they are A.P. find the common difference .
127, 132, 137,...
On 1st Jan 2016, Sanika decides to save Rs 10, Rs 11 on second day, Rs 12 on third day. If she decides to save like this, then on 31st Dec 2016 what would be her total saving?
Observe the adjacent Venn diagram and write the complement of A.
The estimated tax on the income of Shreemati Hinduja is Rs. 8000. How much education cess has she to pay at 3% ?
Find the class-mark of 80-90.
Write a trinomial of degree 7.
Find the 19th term of the A.P. 7, 13, 19, 25, ............ .
Find the sum of all numbers from 50 to 350 which are divisible by 4. Also, find the 15th term.
Find S2 for the A.P. 3,5,7,9,......
If for an A.P. the first term is 2 and the common difference is 3, then find first three-term of A.P.
