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```
In a set of 4 terms first three terms are in gp and last three terms are in ap with a common difference 6.first term is equal to last term. Find first term
In a set of 4 terms first three terms are in gp and last three terms are in ap with a common difference 6.first term is equal to last term. Find first term

```
5 years ago

Ayush Mishra
44 Points
```							let the terms be a, ar,ar2 , b 	as last three terms are in ap          2ar2=ar+b   ….. (i) 	given then first and last terms are equal  => b=a 	from (i)=> 2ar2=ar+a=> 2r2  – r – 1=0        => 2r2 -2r+r-1 = 0=> r= 1 or r=
```
5 years ago
Ayush Mishra
44 Points
```							 r= 1 or r=(-1/2 ) since common difference is 6 , a= ar2 +6  if r=1a=a+6  => 0=6   which is not possible so r cannot be 1  if r=-1/2a=a/4 + 6=> 3a/4 = 6=> a=8   ans is  a=8
```
5 years ago
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### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions