the sum of 4th and 8th term of an A.P. is 24 and the sum of 6th and 10th terms is 34. Find the first term and the common difference of the A.p
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Answer:
d=5/2 a= -1/2
Step-by-step explanation:
T
4
+T
8
=24
T
6
+T
10
=34
⇒a+3d+a+7d=24
⇒2a+10d=24
⇒a+5d=12 …………(1)
⇒a+5d+a+9d=34
⇒2a+14d=34
⇒a+7d=17 …………(2)
Equation (2) - Equation (1)
⇒2d=5
⇒d= 5/2
a=12−5d=12−25/2
= -1/2
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