Calculating the sum of an arithmetic or geometric sequence The sum of an arithmetic progression from a given starting value to the nth term can be calculated by the formula: Sum(s,n) = n x (s + (s + d x (n - 1))) / 2 where n is the index of the n-th term, s is the ...
To find the nth term of the arithmetic progression (AP) given as 2, 5, 8, ..., we can follow these steps: Step 1: Identify the first term (a) and the common difference (d)- The first term a of the AP is 2.- The common difference d can be found by subtracting the first ter...
<p>To find the common difference of the arithmetic progression (A.P) where the nth term is given by the formula <span class="mjx-chtml MJXc-display" style="text-align: center;"><span class="mjx-math"><span class="mjx-mrow"><span class="mjx-msubsup"><span
Exponential growth in investments and exponential growth of bacteria and fungus is always modelled by using a geometric progression where the common ratio is the growth rate. Answer and Explanation: We are given in the question nth term is 5n(n+1), then the (n+1)th is foun...
To find the common difference of the arithmetic progression (A.P.) given by the nth term an=3+n4, we can follow these steps: Step 1: Identify the formula for the nth termThe nth term of the A.P. is given as:an=3+n4 Step 2: Find the first term (a1)To find the first term ...
Ifpth,qth,rthandsthterms of an A.P. are in G.P, then show that (p – q), (q – r), (r – s) are also in G.P. 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...
To solve the problem, we need to find the relationship between the terms x,y,z given that the mth,nth, and pth terms of an Arithmetic Progression (A.P.) and a Geometric Progression (G.P.) are equal to x,y,z respectively. 1. Identify the terms in A.P.: - The mth term of an...
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NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
<p>To find the 7th term of the arithmetic progression (A.P.) where the nth term is given by the formula <span class="mjx-chtml MJXc-display" style="text-align: center;"><span class="mjx-math"><span class="mjx-mrow"><span class="mjx-msubsup"><span class="