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```
convert Sn=(6+66+666....Nth term) into GP and find Nth term

```
8 years ago

Aman Bansal
592 Points
```							Dear Rohan,
The given sequence is 8, 88, 888, 8888…This sequence is not a G.P. However, it can be changed to G.P. by writing the terms asSn = 8 + 88 + 888 + 8888 + …………….. to n terms
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Aman Bansal
```
8 years ago
shubham tibra
15 Points
```							Sn =6/9(9+99+999....n)     sn= 6/9(10+100+1000...n -1-1-1-1.....n) sn =6/9(gp with a=10 and r=10 upto nterm - summation of 1 i.e. n) solving it u will get the answer
```
8 years ago
anshumanpandey
13 Points
```							By anshuman pandey AIS With arpit and ankit pandeyIts too easy (6+66+666+6666+.............n terms) take common 6 ( 1+11+111............)  multiply by 9then 6/9 (9+99+999+.........) 6/9(10+100+1000+......-1-1-1-1 n)
```
4 years ago
Helper
13 Points
```							6+66+666+..6(1+11+111+...)Multiply&Divide by 96/9(9+99+999+.....)6/9[(10-1)+(100-1)+(1000-1)+...]6/9[10+10²+10³+....]-[(1)(1)...... n times]Here a=10 and r=10 Hence, S = a.r^n-1/ r-1S= 10(10^n-1)/10-1S=10(10^n-1)/9=> 6/9[10/9(10^n-1) - n]
```
3 years ago
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• Mind Map
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