Advertisements
Advertisements
प्रश्न
Find the first term and common difference for the following A.P.:
5, 1, –3, –7, ...
Advertisements
उत्तर
5, 1, –3, –7, ...
Here, a = t1 = 5, t2 = 1, t3 = −3, ...
The first term (a) = 5
d = t2 − t1
= 1 − 5
= −4
संबंधित प्रश्न
Find the 9th term from the end (towards the first term) of the A.P. 5, 9, 13, ...., 185
The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP.
A ladder has rungs 25 cm apart. (See figure). The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and bottom rungs are 2 `1/2` m apart, what is the length of the wood required for the rungs?
[Hint: number of rungs = `250/25+ 1`]
Find the sum of the following arithmetic progressions:
`(x - y)/(x + y),(3x - 2y)/(x + y), (5x - 3y)/(x + y)`, .....to n terms
In an A.P., if the 5th and 12th terms are 30 and 65 respectively, what is the sum of first 20 terms?
Find the sum of the first 15 terms of each of the following sequences having the nth term as
bn = 5 + 2n
Show that `(a-b)^2 , (a^2 + b^2 ) and ( a^2+ b^2) ` are in AP.
Find the sum of the first n natural numbers.
Choose the correct alternative answer for the following question .
In an A.P. first two terms are –3, 4 then 21st term is ...
Sum of 1 to n natural numbers is 36, then find the value of n.
Simplify `sqrt(50)`
Ramkali would need ₹1800 for admission fee and books etc., for her daughter to start going to school from next year. She saved ₹50 in the first month of this year and increased her monthly saving by ₹20. After a year, how much money will she save? Will she be able to fulfil her dream of sending her daughter to school?
If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 terms is
The given terms are 2k + 1, 3k + 3 and 5k − 1. find AP.
A manufacturer of TV sets produces 600 units in the third year and 700 units in the 7th year. Assuming that the production increases uniformly by a fixed number every year, find:
- the production in the first year.
- the production in the 10th year.
- the total production in 7 years.
Find the sum of the first 10 multiples of 6.
In an AP, if Sn = n(4n + 1), find the AP.
The sum of 41 terms of an A.P. with middle term 40 is ______.
