Advertisements
Advertisements
Question
For an given A.P., t7 = 4, d = −4, then a = ______.
Options
6
7
20
28
Advertisements
Solution
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
RELATED QUESTIONS
If the ratio of the sum of first n terms of two A.P’s is (7n +1): (4n + 27), find the ratio of their mth terms.
The first and the last terms of an AP are 7 and 49 respectively. If sum of all its terms is 420, find its common difference.
In an AP given a = 8, an = 62, Sn = 210, find n and d.
A spiral is made up of successive semicircles, with centres alternately at A and B, starting with centre at A of radii 0.5, 1.0 cm, 1.5 cm, 2.0 cm, .... as shown in figure. What is the total length of such a spiral made up of thirteen consecutive semicircles? (Take `pi = 22/7`)

[Hint: Length of successive semicircles is l1, l2, l3, l4, ... with centres at A, B, A, B, ... respectively.]
Find the sum of the first 40 positive integers divisible by 5
The 4th term of an AP is 11. The sum of the 5th and 7th terms of this AP is 34. Find its common difference
Find the sum of the following Aps:
9, 7, 5, 3 … to 14 terms
How many terms of the AP `20, 19 1/3 , 18 2/3, ...` must be taken so that their sum is 300? Explain the double answer.
The Sum of first five multiples of 3 is ______.
Write the common difference of an A.P. whose nth term is an = 3n + 7.
The first and last term of an A.P. are a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \[\frac{l^2 - a^2}{k - (l + a)}\] , then k =
If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k =
The 11th term and the 21st term of an A.P are 16 and 29 respectively, then find the first term, common difference and the 34th term.
First four terms of the sequence an = 2n + 3 are ______.
The sum of first ten natural number is ______.
If the numbers n - 2, 4n - 1 and 5n + 2 are in AP, then the value of n is ______.
The sum of all odd integers between 2 and 100 divisible by 3 is ______.
Find the sum:
`4 - 1/n + 4 - 2/n + 4 - 3/n + ...` upto n terms
Kanika was given her pocket money on Jan 1st, 2008. She puts Rs 1 on Day 1, Rs 2 on Day 2, Rs 3 on Day 3, and continued doing so till the end of the month, from this money into her piggy bank. She also spent Rs 204 of her pocket money, and found that at the end of the month she still had Rs 100 with her. How much was her pocket money for the month?
Solve the equation:
– 4 + (–1) + 2 + 5 + ... + x = 437
