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If The Sum Of N Terms Of An Ap Is Na Plus N2b Where A B Are Constant Then Its Common Difference Will Be

(1) A - B (2) A + B (3) 2A (4) 2B Solution: Given Sn = nA + n2B S1 = A+B S2 = 2A + 4B S3 = 3A + 9B Here first term a = A+B... View Article

If 2x X Plus 8 3x Plus 1 Are In Ap Then The Value Of X Will Be

(1) 3 (2) 7 (3) 5 (4) -2 Solution: Given 2x ,x + 8, 3x + 1 are in A.P b-a = c-b x + 8- 2x = 3x + 1 - x - 8 3x = 15 x = 15/3 =... View Article

The Sum Of 24 Terms Of The Following Series Root 2 Plus Root 8 Plus Root 18 Plus Root 32 Is

(1) 300 (2) 300√2 (3) 200√2 (4) none of these Solution: Given series √2 +√8+√18+√32+.... = √2 +2√2 +3√2 +4√2 +... Here a = √2... View Article

If Mth Terms Of The Series 63 Plus 65 Plus 67 Plus 69 Plus And 3 Plus 10 Plus 17 Plus 24 Be Equal Then M Equals

(1) 11 (2) 12 (3) 13 (4) 15 Solution: For the series , 63 + 65 + 67 + 69 + .... First term, a = 63 Common difference, d = 2 mth... View Article

The Sum Of Integers From 1 To 100 That Are Divisible By 2 Or 5 Is

(1) 3000 (2) 3050 (3) 4050 (4) None of these Solution: Required sum = sum of integers divisible by 2 + sum of integers divisible... View Article

If Tan N Theta Equal Tan M Theta Then The Different Values Of Theta Will Be In

(1) A.P (2) G.P (3) H.P (4) None of these Solution: Given tan nθ = tan mθ nθ = Nπ+(mθ) θ = Nπ/(n-m) Substitute N = 1,2,3… we... View Article

If The Pth Term Of An Ap Be Q And Qth Term Be P Then Its Rth Term Will Be

(1) p + q + r (2) p + q - r (3) p + r - q (4) p - q - r Solution: Given pth term is q and qth term is p. ap => a+(p-1)d =... View Article

The Number Of Terms In The Series 101 Plus 99 Plus 97 Plus 47 Is

(1) 25 (2) 28 (3) 30 (4) 20 Solution: Here a = 101 Common difference, d = 99-101 = -2 an = a+(n-1)d = 47 101+(n-1)-2 = 47 101... View Article

If The Nth Term Of An Ap Be 2n 1 Then The Sum Of Its First N Terms Will Be

(1) n2 -1 (2) (2n - 1)2 (3) n2 (4) n2 + 1 Solution: For AP, an = a+ (n-1)d = 2n-1 a1 = 2-1 = 1 a2 = 4-1 = 3 Common difference ,... View Article

Which Term Of The Sequence 8 Plus 18i 6 Plus 15i 4 Plus 12i Is Purely Imaginary

(1) 5th (2) 7th (3) 8th (4) 6th Solution: Given sequence (-8 + 18i), (-6 + 15i),(-4 + 12i) ....... Here common difference, d =... View Article

If The 9th Term Of An Ap Be Zero Then The Ratio Of Its 29th And 19th Term Is

(1) 1 : 2 (2) 2 : 1 (3) 1 : 3 (4) 3 : 1 Solution: Given 9th term = 0 a + 8d = 0 a = -8d 29th term = a + 28d = -8d + 28d = 20 d... View Article

The Sequence 5 By Root 7 6 By Root 7 Root 7 Is

(1) HP (2) GP (3) AP (4) None of these Solution: Check the common difference. b-a = (6/√7) - (5/√7) = 1/√7 c-b = (√7) - (6/√7) =... View Article

The Sum Of The Product Of The Numbers 1 2 N Taken Two At A Time Is

(1) -n(n+1)/2 (2) n(n+1)(2n+1)/6 (3) -n(n+1)(2n+1)/6 (4) 0 Solution: Let a,b,c,...= ± 1, ± 2, ±3... We know (a+b+c)2 =... View Article

23 Dec 2020: UPSC Exam Comprehensive News Analysis

23 Dec 2020 CNA:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related POPULATION 1. Health data shows India doesn’t need a two-child policy: PCI... View Article

22 Dec 2020: PIB Summary & Analysis

December 22nd, 2020, PIB:- Download PDF Here TABLE OF CONTENTS 1. Modi receives Legion of Merit Award from US 2. National Startup Awards 3.... View Article

22 Dec 2020: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 22nd December 2020. Important news and views to... View Article

How Do You Factor X 2 X 6

We have to factorise x2 + x - 6 x2 + x - 6 Find two factors of -6 whose sum equals the coefficient of the middle term, which is 1. x2 - 2x... View Article

Convert 5 Cm To M

A centimetre is a unit of length in the International System of Units (SI), the current form of the metric system. It is defined as 1/5 meters.... View Article

How Do You Find The Exact Functional Value Sin 105 Using The Cosine Sum Or Difference Identity

Sin 105° can be written as sin (60° + 45°) which is similar to sin (A + B). We know that, the formula for sin (A + B) = sin A... View Article

When Sin X 1 What Does X Equal

sin x = 1 so we need to find the value of x The principal solution for this case will be x = 0, π, 2π as these values satisfy the given... View Article