Sequences and Series
Maximum value of ∏(1+ab−c)a is λ where a,b,c are integral sides of a triangle, λ+2 is/are divisible by
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Find the sum to n terms of the series :1×2+2×3+3×4+4×5+......
Ramkali saved Rs 5 in the first week of a year and then increased her weekly savings by Rs 1.75. If in the nth week, her weekly savings become Rs 20.75, find n.
Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . .
A person has 2 parents, 4 grandparents, 8 great grand parents, and so on. Find the number of his ancestors during the ten generations preceding his one.
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 the bottom rungs are 221m apart, what is the length of the wood required for the rungs?
If the sum of n terms of an A.P. is 3n2+5n and its mth term is 164, find the value of m.
In an A.P., if pthterm is q1and qthterm is p1, prove that the sum of first pq terms is 21(pq+1),where p=q.
Find the sum to infinity of the following Geometric Progression: 5,720 , 4980 ,…