Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000.
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Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.
How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
Find the sum of all numbers between 200 and 400 which are divisible by 7.
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
Find the sum to n terms of the series 3 × 8 + 6 × 11 + 9 × 14 +…
Describe the sample space for the indicated experiment: A die is thrown two times.
A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?
Describe the sample space for the indicated experiment: A coin is tossed and then a die is rolled only in case a head is shown on the coin.
The sum of first three terms of a G.P. is and their product is 1. Find the common ratio and the terms.
Find the equation of the circle with centre (0, 2) and radius 2
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
Find the sum to n terms of the series 1 × 2 + 2 × 3 + 3 × 4 + 4 × 5 + …
Find the sum to n terms in the geometric progression x3, x5, x7 ... (if x ≠ ±1)