# CAT Quantitative Aptitude Questions | CAT Algebra - Progressions questions

###### CAT Questions | Algebra | Progressions - Arithmetic Progressions CAT Questions

The question is about sum of an Arithmetic Progressions. Second term and eighth term of an AP is given and we need to find out the sum up to 8 terms. With some simple but very powerful ideas, one can cut down on a lot of working when it comes to progressions. For example, anchoring a progression around its middle term can be very useful. CAT Exam tests the idea of progression often in the CAT Quantitative Aptitude section and this could also be tested in DI LR section of the CAT Exam as a part of a puzzle.

Question 11: Second term in an AP is 8 and the 8th term is 2 more than thrice the second term. Find the sum up to 8 terms of this AP.

1. 124
2. 108
3. 96
4. 110

## Best CAT Coaching in Chennai

#### CAT Coaching in Chennai - CAT 2020Online Batches Available Now!

##### Method of solving this CAT Question from CAT Algebra - Progressions: Form the equation and you will be through!

Given, Second term of an AP is 8 => a+d =8, 8th term is 2 more than thrice the second term => a+7d = 2 +3(a+d) = 2+3*8 =26 .
a+d =8 -------------- 1
a+7d = 26 -------------- 2
Solving for d in the two equations, we get d = 3 and a =5.
Sum of n terms in an AP = $$frac{n}{2}\\$ * [2a +$n-1)d].
=> Sum upto 8 terms in this AP = $$frac{8}{2}\\$ * [2*5 +$8-1)3] => 4*[10+21] = 4*31 = 124.

The question is "Second term in an AP is 8 and the 8th term is 2 more than thrice the second term. Find the sum up to 8 terms of this AP."

##### Hence the answer is "124"

Choice A is the correct answer.

###### CAT Coaching in ChennaiCAT 2020Enroll at 35,000/-

Online Classroom Batches Starting Now!

###### Best CAT Coaching in ChennaiRegister Online, get Rs 7000/- off

Attend a Demo Class

## CAT Online Preparation | CAT Algebra Videos On YouTube

#### Other useful sources for Algebra Questions | Arithmetic Progressions Geometric Progressions Sample Questions

##### Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

##### How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com