there are 5 terms in an Arithmetic proggression sum of these term is 55 and 4 term is 5 more than the sum of first two terms find the terms of Arithmetic proggression
Answers
Step-by-step explanation:
Let say AP is
a , a + d , a + 2d , a + 3d , a + 4d
Sum of these 5 terms is 55 :
a + a + d + a + 2d + a + 3d + a + 4d = 55
5a + 10d = 55
a + 2d = 11 ....... ( 1 ) ( Dividing with 5 )
4th term is 5 more than the sum of first two terms :
a + 3d = 5 + a + a + d
a + 3d = 5 + 2a + d
3d - d = 5 + 2a - a
2d = 5 + a
- a + 2d = 5
a - 2d = -5 ........( 2 ). ( multiply with - )
By adding equation 1 and 2
a + 2d = 11
a - 2d = -5
2a = 6
a = 6÷2
a = 3 ........( 3 )
Put equation 3 in 1 or 2
In equation 1 :
a + 2d = 11
3 + 2d = 11
2d = 11 - 3
2d = 8
d = 8÷2
d = 4
IN ARITHMETIC PROGRESSION
3 , 7 , 11 , 15 , 19 ,.....................
Answer:
hiii
mate navu kannadadhavru
from Bangalore
Step-by-step explanation:
nice to meet at u
by the way good evening.....