If a, 7,b,23 are in AP find a and b.
Answers
Answered by
6
Step-by-step explanation:
Since a, 7, b, 23 are in AP
∴ 7 - a = b - 7 = 23 - b = c - 23 = common difference
I II III IV
Taking second and third terms, we get
b - 7 = 23 - b
⇒ 2b = 30
∴ b = 15
Taking first and second terms, we get
7 - a = b - 7
⇒ 7 - a = 15 - 7
⇒ 7 - a = 8
∴ a = -1
Taking third and fourth terms, we get
23 - b = c - 23
⇒ 23 - 15 = c - 23
⇒ 8 = c - 23
⇒ 8 + 23 = c ⇒ c = 31
Hence, a = -1, b = 15
Answered by
0
7=a+b
23=a+3b
a+b+2b=7+2b
2b=16
b=8
a= -1
so,-1,7,15,23,31
Similar questions
Math,
1 month ago
English,
2 months ago
Accountancy,
9 months ago
Hindi,
9 months ago
English,
9 months ago