CAT Sequences and Series — practice questions
14 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CAT Sequences and Series in the app →The $n^\text{th}$ term of an Arithmetic Progression (AP) with first term $a$ and common difference $d$ isThe sum of the first $n$ terms of an AP with first term $a$ and last term $l$ isThe 10th term of an AP with first term $a = 5$ and common difference $d = 3$ isThe $n^\text{th}$ term of a Geometric Progression (GP) with first term $a$ and common ratio $r$ isThe sum of the first $n$ terms of a GP with first term $a$ and common ratio $r \neq 1$ isThe sum to INFINITY of the GP $1 + 1/2 + 1/4 + 1/8 + \ldots$ isThe Arithmetic Mean (AM) of two positive numbers $a$ and $b$ isThe Geometric Mean (GM) of $4$ and $9$ isSum of the first $n$ natural numbers, $1 + 2 + 3 + \ldots + n$, equalsSum of the SQUARES of the first $n$ natural numbers, $1^2 + 2^2 + 3^2 + \ldots + n^2$, equalsSum of the CUBES of the first $n$ natural numbers, $1^3 + 2^3 + \ldots + n^3$, equalsThree numbers are in AP. Their sum is $24$ and their product is $440$. Find the smallest of the three.If the AM and GM of two positive numbers are $5$ and $4$ respectively, the numbers areThe AM-GM INEQUALITY for two POSITIVE numbers $a$ and $b$ states that