On simplification 1 – 2 + 3 – 4 + 5 – 6 - - - - + 101, we get
Given:
Simplify the series:
1 - 2 + 3 - 4 + 5 - 6 + ..... + 101
Solution:
Pair the terms up to 100:
(1 - 2) + (3 - 4) + ......... + (99 - 100)
Number of such pairs = 50
Sum of these pairs = 50 × (-1) = -50
Remaining last term = +101
Total sum = -50 + 101 = 51
Thus, Value of the given expression = 51
English
150 Questions
150 Marks
150 Mins English English150 Questions150 Marks150 Mins English English150 Questions150 Marks150 Mins EnglishOn simplification 1 – 2 + 3 – 4 + 5 – 6 - - - - + 101, we get
1 + 2 + 3 +………+ 50 equals
If in an A.P., the pᵗʰ term is q and the (p + q)ᵗʰ term is 0, then the qᵗʰ term is:
If in an A.P., Sₙ = qn² and Sₘ = qm², where Sᵣ denotes the sum of first r terms of the A.P., then equals:
The first term and last term of an AP are 33 and -57 respectively. If there are 16 terms in the series, then what will be sum?
Sum of p terms of AP is q and sum of q terms of AP is p. Common difference of A.P. is:
The sum of all two digit numbers which when divided by 4, leave 1 as remainder is :
The 7th term from the end of the sequence -8, -5, -2, ......... , 88 is :
The square of the natural numbers are grouped as
Which one of the following is correct in respect of the Question and the Statements?
Statement 1: The sum of the terms in the last group is 804660.
Statement 2: There are 20 groups in all.
Statement 3: The sum of all the terms till the last but one group is 2304415.
The sum of all natural numbers from 75 to 97 is:
Suggested Test Series
Suggested Test Series
