Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.
Common ratio, r = 2
Let a be the first term of the G.P.
∴ a8 = ar 8–1 = ar7
⇒ ar7 = 192
a(2)7 = 192
a(2)7 = (2)6 (3)
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.
A point is on the x-axis. What are its y-coordinates and z-coordinates?
Find the sum to n terms of the series 1 × 2 + 2 × 3 + 3 × 4 + 4 × 5 + …
If f is a function satisfying f(x +y) = f(x) f(y) for all x,y N such that f(1) = 3
and , find the value of n.
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.
Find the 20th and nthterms of the G.P.
Which of the following sentences are statements? Give reasons for your answer.
(i) There are 35 days in a month.
(ii) Mathematics is difficult.
(iii) The sum of 5 and 7 is greater than 10.
(iv) The square of a number is an even number.
(v) The sides of a quadrilateral have equal length.
(vi) Answer this question.
(vii) The product of (–1) and 8 is 8.
(viii) The sum of all interior angles of a triangle is 180°.
(ix) Today is a windy day.
(x) All real numbers are complex numbers.
For what values of x, the numbers are in G.P?
S.I. for 1 year = Rs. (2124-2016) = Rs. 108. S.I. for 2 years = Rs.(108 x 2) = Rs. 216. We know that, A = P + S.I. So, A = 2016 S.I. = 216 Principal, P = Rs. (2016-216) = Rs. 1800.
A sum of money becomes ` 2016 in 2 years and ` 2124 in 3 years, at simple interest. What is the sum of money? Ans: sum of money p= 1800
A sum of money becomes ` 2016 in 2 years and ` 2124 in 3 years, at simple interest. What is the sum of money?
The ratio of 12th term to 15th term of a G.P. is 8 : 1. What is the common ratio of G.P?
Good answer