find out 50th term
4th term 12
10th term 30
Answers
Question :-
Find out the 50th term of an AP . Whose 4th term is 12 and 10th term is 30 .
Answer :-
Given :-
4th term = 12
10th term = 30
Required to find :-
- 50 term of the AP ?
Formula used :-
Solution :-
Given data :-
4th term = 12
10th term = 30
we need to find the 50th term of the AP .
So,
Let's consider the given information ;
4th term = 12
10th term = 30
However,
The 4th term can also be represented as " a + 3d "
=> a + 3d = 12
Consider this as equation - 1
Similarly,
The 10th term can be represented as " a + 9d "
=> a + 9d = 30
consider this as equation - 2
Now,
Let's solve these 2 equations simultaneously using the elimination method .
Hence,
- Common difference ( d ) = 3
Substitute the value of d in equation 1
a + 3d = 12
a + 3 ( 3 ) = 12
a + 6 = 12
a = 12 - 6
a = 6
Hence,
- First term ( a ) = 6
Using the formula ;
Let's find the 50th term ;
This implies ;
Therefore ,
50th term = 153
HOPE IT HELPS U ......