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What is the \(n^{\text{th}}\) term of an arithmetic progression whose sum to ‘\(n^{\text{th}}\)’ terms is \(2n^23n\) ?
Find the sum of \(14\) A.M’s between \(5\) and \(8\).
If \(1^3+2^3+\cdots+m^3=3025\), find \(m\).
What is the sum of ‘\(n\)’ arithmetic means between ‘\(a\)’ and ‘\(b\)’.
Given \(P=3+5+7\cdots \, \text{(n terms)}\) and \(Q=5+8+11+\cdots\) \(\text{(10 terms)}\) . What is the value of ‘\(n\)’ if \(\dfrac{P}{Q}=7\) ?
Find the sum of ‘\(n\)’ terms of the series \(1+(1+2)+(1+2+3)+(1+2+3+4)+\cdots\)
If the \(7^{\text{th}}\) and \(13^{\text{th}}\) term of an AP are \(34\) and \(64\) respectively, then
In an AP \(a_{n}=(7n1)\) then select option which shows correctly
Find three number in arithmetic progression whose sum is \(3\) and product \(35\)
What is the value of ‘\(x\)’ if \(2x,\ x+10\) and \(3x+2\) are in arithmetic progression ?
Find the sum of the numbers in between \(1\) and \(1000\) which are divisible by 9.
If \(p\neq q\) and the sequences \(p,\ a,\ b,\ q\) and \(p,\ m,\ n,\ q\) each are in AP, then \(\dfrac{ba}{nm}\) is
If the \(t\)th term of an AP is \(s\) and the \(s\)th term of the same AP is \(t\), then \(a_{n}\) is
(1)
Sides of a pentagon are an AP, IF the perimeter of the pentagon is \(100\), then the sum of its largest and smallest side is
A sum of \(2000 \$\) is invested at \(4\%\) simple interest per year. If the total interest at the end of each year forms an AP, then the interest at the end of \(30\) year will be
If the \(5^{\text{th}}\) term of an AP is zero, then \(26^{\text{th}}\) term is ______ the \(12^{\text{th}}\) term.
If \(8\) times and \(8^{\text{th}}\) term of an AP is equal to \(15\) time the \(15^{\text{th}}\) term of that AP, then \(23\)rd term of the same AP is
If the ratio of the sum of \(m^{\text{th}}\) and \(n^{\text{th}}\) terms of an AP is \(1:1\), then which of the following is true ?
If \(n\) is odd and \(S_{n}\) denotes their sum, then the sum of first \(20\) such that numbers will be
If \(18^{\text{th}}\) and \(11^{\text{th}}\) terms of an AP are in the ratio \(3:2\), then its \(29^{\text{th}}\) and \(5^{\text{th}}\) terms are in ratio
The sum of \(n\) terms of two AP’s are in the ratio \(5n+9:9n+6\), then the ratio of their \(18\)th therm is