Advertisements
Advertisements
प्रश्न
Check whether the following sequence is in A.P.
a – 3, a – 5, a – 7, …
उत्तर
a – 3, a – 5, a – 7…….
t2 – t1 = a – 5 – (a – 3)
= a – 5 – a + 3
= – 2
t3 – t2 = a – 7 – (a – 5)
= a – 7 – a + 5
= – 2
t2 – t1 = t3 – t2 ......(common difference is same)
The sequence is in A.P.
APPEARS IN
संबंधित प्रश्न
The 11th term and the 21st term of an A.P. are 16 and 29 respectively, then find:
(a) The first term and common difference
(b) The 34th term
(c) ‘n’ such that tn = 55
State whether the following sequence is an AP or not: 1, 3, 6, 10………
A farmer borrows Rs.1,000 and agrees to repay with a total interest of Rs. 140 in 12 installments, each installment being less that the preceding installment by Rs. 10. What should be his first installment?
An arithmetic progression 5, 12, 19, …. has 50 terms. Find its last term. Hence find the sum of its last 15 terms.
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 …
Find 8th term of the A.P. 117, 104, 91, 78, ...
Find the 8th term from the end of the A.P. 7, 10, 13, ..., 184
In the winter season let us take the temperature of Ooty from Monday to Friday to be in A.P. The sum of temperatures from Monday to Wednesday is 0°C and the sum of the temperatures from Wednesday to Friday is 18°C. Find the temperature on each of the five days.
Choose the correct alternative answer for the following sub question
For an A.P. 5, 12, 19, 26, … a = ?
If six times of the 3rd term is equal to the eight times of 7th term in an A.P., then what will be the 19th term?
