Step by step video & image solution for If a_(1),a_(2),a_(3),..., are in arithmetic progression,then S=a_(1)^(2)-a_(2)^(2)+a_(3)^(2)-a_(4)^(2)+...-a_(2k)^(2) is equal by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.Up...
Similar Questions Which term of the Arithmetic Progression −7,−12,−17,−22,... will be - 82 ? Is - 100 any term of the A.P. ? Gien reason for your answer. View Solution Which term of the Arithetic Progression −7,−12,−17,−22,………. will be −102 ? Is...
To find the ratio p:q given that the sum of the first 10 terms of an arithmetic progression (AP) with first term p and common difference q is 4 times the sum of the first 5 terms, we can follow these steps: Step 1: Write the formula for the sum of the first n terms of an AP...
BOOK - PUNEET DOGRACHAPTER - SET & RELATIONEXERCISE - PREV YEAR QUESTIONS 65videos SET & RELATION Similar Questions Find the sum of the following arithmetic progression: 50,46,42,… upto 10 terms. View Solution Sum of the first 3 terms common to the two arithmetic sequences ; (1,4,7,10...
Similar Questions If a1,a2,a3,an are in arithmetic progression with common difference d, then evaluate the following expression: tan{tan−1(d1+a1a2)+tan−1(d1+a2a3)+tan−1(d1+a3a4)++tan−1(d1+an−1an)} View Solution If a1,a2,a3,,an is an A.P. with common difference...
To find which term of the arithmetic progression (AP) 8, 14, 20, 26, ... is 72 more than its 41st term, we can follow these steps:Step 1: Identify the first term (a) and the common difference (d) of the AP. - The first term \(
If A,B and C are the angles of a triangle such that sec(A-B), sec (A) and sec (A+B) are in arithmetic progression , then View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11...
The sum of the first three terms of an arithmetic progression is 9 and the sum of their squares is 35. The sum of the first n terms of the series can be View Solution There are four numbers such that the first three of them form an arithmetic sequence and the last three form a geom...
There are three constant differences between the fifth and eighth terms. Since 41-26=15, the constant difference is 5. the fifth term, 26, is four constant differences (20) more than the first term. Therefore, the first term is 26-20=6.
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