In an A.P 4th term is equal to 5 times of first term , 8th term is one more than twice the 4th term Find the arithmetic progression.
Answers
Answered by
2
Answer:
mark me as brain list power and give me so much thanks
Step-by-step explanation:
A4 = 5 A1 -------------1
A8 = 1 + 2A4----------2
A1 = a
A4 = a + 3d
putting in equation 1
a+3d = 5a
3d = 4a----------3
A8 = a+7d
putting in equation 2
a+7d = 1+ 2(a+3d)
a+7d = 1+ 2a +6d
d = 1 + a------- 4
putting 4 in 3
3(1+a) = 4a
3 +3a =4a
a = 3
now from 4 we get
d= 1+ a
= 4
Ap = A1,A2 ,A3
A2 = a+ d
= 7
A3 = a+2d
= 3 + 2(4)= 11
AP = 3 , 7 ,11
Similar questions
Science,
4 hours ago
Math,
4 hours ago
Social Sciences,
4 hours ago
Hindi,
7 hours ago
Social Sciences,
7 hours ago
Hindi,
7 months ago
English,
7 months ago