Advertisements
Advertisements
प्रश्न
For an given A.P., t7 = 4, d = −4, then a = ______.
पर्याय
6
7
20
28
Advertisements
उत्तर
For an given A.P., t7 = 4, d = −4, then a = 28.
Explanation:
Given,
t7 = 4
d = −4
Now,
tn = a + (n − 1)d
t7 = a + (7 − 1)d
⇒ 4 = a + 6(−4)
⇒ 4 = a − 24
⇒ a = 4 + 24
⇒ a = 28
संबंधित प्रश्न
Ramkali required Rs 2,500 after 12 weeks to send her daughter to school. She saved Rs 100 in the first week and increased her weekly saving by Rs 20 every week. Find whether she will be able to send her daughter to school after 12 weeks.
What value is generated in the above situation?
In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato and other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line.

A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run?
[Hint: to pick up the first potato and the second potato, the total distance (in metres) run by a competitor is 2 × 5 + 2 × (5 + 3)]
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:
1, 3, 5, 7, ... to 12 terms
Find the sum of the first 40 positive integers divisible by 5
Find the 8th term from the end of the AP 7, 10, 13, ..., 184.
Is 184 a term of the AP 3, 7, 11, 15, ...?
The 7th term of an AP is –4 and its 13th term is –16. Find the AP.
The angles of a quadrilateral are in AP whose common difference is 10°. Find the angles.
Write the next term of the AP `sqrt(2), sqrt(8), sqrt(18),`....
Simplify `sqrt(50)`
If the seventh term of an A.P. is \[\frac{1}{9}\] and its ninth term is \[\frac{1}{7}\] , find its (63)rd term.
Find the sum of the first 15 terms of each of the following sequences having nth term as xn = 6 − n .
If the sum of n terms of an A.P. is 3n2 + 5n then which of its terms is 164?
The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its
x is nth term of the given A.P. an = x find x .
Find the sum of the integers between 100 and 200 that are
- divisible by 9
- not divisible by 9
[Hint (ii) : These numbers will be : Total numbers – Total numbers divisible by 9]
If 7 times the seventh term of the AP is equal to 5 times the fifth term, then find the value of its 12th term.
Complete the following activity to find the 19th term of an A.P. 7, 13, 19, 25, ........ :
Activity:
Given A.P. : 7, 13, 19, 25, ..........
Here first term a = 7; t19 = ?
tn + a + `(square)`d .........(formula)
∴ t19 = 7 + (19 – 1) `square`
∴ t19 = 7 + `square`
∴ t19 = `square`
An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P.
