Select Goal &
City
Select Goal
Explore
Question:
Suppose a1, a2, 2, a3, a4 be in an arithmeticogeometric progression. If the common ratio of the corresponding geometric progression is 2 and the sum of all 5 terms of the arithmetico-geometric progression is \(\frac{49}{2}\) , then a4 is equal to ________ .
Suppose a1, a2, 2, a3, a4 be in an arithmeticogeometric progression. If the common ratio of the corresponding geometric progression is 2 and the sum of all 5 terms of the arithmetico-geometric progression is \(\frac{49}{2}\) , then a4 is equal to ________ .
Updated On: Sep 09, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 16
Solution and Explanation
The correct option is: 16
Was this answer helpful?
0
4
Top Questions on Geometric Progression
- In a 64 terms GP if sum of total terms is seven times sum of odd terms, then common ratio is:
- JEE Main - 2024
- Mathematics
- Geometric Progression
- Let \(α\) and \(β\) the roots of equation \(px^2 + qx - r = 0\), where \(P≠ 0\). If \(p,q,r\) be the consecutive term of non constant G.P and \(\frac{1}{α} + \frac{1}{β} = \frac{3}{4}\) then the value of \((α - β)^2\) is:
- JEE Main - 2024
- Mathematics
- Geometric Progression
- If 1st term of a GP is ‘a’ and 3rd term is ‘b’ and in 2nd GP 1st term is ‘a’ and 5th term is ‘b’ and 11th term of 1st GP common to which term of 2nd GP?
- JEE Main - 2024
- Mathematics
- Geometric Progression
- If first term of non-constant GP be \(\frac 18\) and every term is AM of next two, then \( \displaystyle\sum_{r=1}^{20} T_r- \displaystyle\sum_{r=1}^{18} T_r\) is
- JEE Main - 2024
- Mathematics
- Geometric Progression
- If the sum and product of four positive consecutive terms of a GP, are 126 and 1296, respectively, then the sum of common ratios of all such GPs is
- JEE Main - 2023
- Mathematics
- Geometric Progression
View More Questions
Questions Asked in JEE Main exam
- An electron in the 5th excited state of He+ atom moves to the 1st excited state. Find the number of possible spectral lines formed.
- JEE Main - 2024
- Atomic Spectra
- In given circuit, reading of voltmeter is 1 V, then resistance of
- JEE Main - 2024
- Heat Transfer
- We are given with three NaCl samples and their Van't Hoff factors. Which is correct option ?
Sample Van't Haff Factor Sample - 1 (0.1 M) \(i_1\) Sample - 2 (0.01 M) \(i_2\) Sample - 3 (0.001 M) \(i_2\) - JEE Main - 2024
- Solutions
- Complementary stand of DNA ATGCTTCA is:
- JEE Main - 2024
- Hydrogen Bonding
- Which is following compound is easily attacked by electrophile?
- JEE Main - 2024
- Organic Chemistry- Some Basic Principles and Techniques
View More Questions
JEE Main Notification
JEE Main 2025 Chapter-wise Question Papers Available, Download HereSep 09, 2024JEE Main 2025 chapter-wise question papers, along with answer keys and expert solutions available here. Download the PDFs for better preparation on our website.
SUBSCRIBE TO OUR NEWS LETTER
COLLEGE NOTIFICATIONSEXAM NOTIFICATIONSNEWS UPDATES
Download the Collegedunia app on 
© 2024 Collegedunia Web Pvt. Ltd. All Rights Reserved