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The common difference of the A.P. 3, 1, 1, 3 … is :
Common difference = 1 – 3 = 2
The general form of an A.P. is :
The general form of the AP is where is the first term and is the common difference
Which of the following list of numbers does form an A.P. ?
The 10th term of the A.P. 5, 8, 11, 14, …. is :
The list of numbers – 10, – 6, – 2, 2 …. is :
In an A.P., if \(a = – 7.2, d = 3.6\) and \(t_n = 7.2,\) then \(n \) is :
In an A.P., if \(t_n = 4, d = – 4\), and \(n = 7\), then a is :
The nth term of the A.P. 2, 5, 8, … is :
The 11th term of the A.P. \(5.\dfrac{5}{2},0,\dfrac{5}{2},… \) is
Which term of the A.P. 4, 9, 14, 19, … is 109?
How many terms are there in the A.P. 1, 3, 5, …. 73, 75?
If the numbers a, b, c are in A.P., then :
Which term of the A.P. 72, 63, 54, …. is 0?
The famous mathematician associated with finding the sum of first 100 natural numbers is :
Gauss is the famous mathematician associated with finding the sum of first 100 natural numbers
The sum of first 16 terms of the A.P. 10, 6, 2, â€¦ is:
In an A.P., if \(a = 1, t_n = 20\) and \(S_n = 399\), then \(n \) is:
The sum of first \(n \) natural numbers is :
The first natural numbers are 1, 2, 3, 4â€¦
\(\)S_n=\dfrac{n}{2}[2a+(n1)d]\\ \\ =\dfrac{n}{2}\times[2\times1+(n1)\times1]\\ \\ =\dfrac{n}{2}[n+1) /latex]
If 4th term of an A.P. is 14 and its 12th term is 70, what is its first term?
â€¦(1)
â€¦(2)
Subtracting equation (1) from (2) we get
The first term of an A.P. is 6 and its common difference is 5. What will be its 11th term?
The first two terms of an A.P. are 3 and 4. The 21st term of the A.P. will be :
Two A.P.s have the same common difference. The first term of one of these is – 2 and that of the other is – 10. The difference between their 10th terms is :
â€¦(1)
â€¦(2)
Difference
If 11 times the 11th term of an A.P. is equal to 7 times its 7th term, then its 18th term will be :
If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of (p + q) terms will be:
â€¦(1)
â€¦(2)
Subtracting eqn (2) from (2) we get
If the sum of \(n \) terms of an A.P. be \(3n^2 + 5n\), then which of its terms is 164?
term
If the sum of \(n \) terms of an A.P. is \(2n^2 + 5n\), then its nth term is :
First term
Second term
Common difference
term
25 + 28 + 31 + …. + 100 = ?
The sum of first \(n \) even integers is given by :
Which term of the A.P. 24, 21, 18, ………………. is the first negative term?
10th term will be negative
Which term of the A.P. 2, 1, 4, ………. is 70?
Which term of the A.P. 21, 42,, 63 ………………. is 210?
What is the common difference of the A.P. in which \(a_{18}a_{14}=32 \)?
The next term of the A.P. \(\sqrt{27},\sqrt{48},\sqrt{75}, \) . â€¦. Is
common difference
Next term
Which of the following is not an A.P
For an A.P. if \(a_{25} – a_{20} = 45\), then \(d \) equals to :
If the nth term of an A.P . Is \(\dfrac{3+n}{4} \), then its 8th term is
If an A.P. has \(a = 1, t_n = 20\) and \(S_n = 399\), then value of \(n \) is :
The sum of the first \(n \) terms of an A.P. is \(2n^2+5n \). Then its nth term is :
term
For what value of p are 2p + 1, 13, 5p – 3, three consecutive terms of an A.P.?
15th term of the A.P., \(x – 7, x – 2, x + 3\),….is :
If p – 1, p + 3, 3p – 1 are in A.P., then p is equal to: