for what value of n are the n th terms of two APs:63,65,67....... and 3,10,17......equal
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3
Answer:
For what value of n, are the nth terms of two APs:63, 65, 67,. . . and 3, 10, 17, . . . equal - 1812061.
Answered by
1
Answer:
1st AP
63,65,67,....
we no that
An=a+(n-1)d
hence,
a=63
d=65-63=2
putting this into formula:
An=a+(n-1)d
63+2n-2
61+2n
2nd AP
3,10,17,..
we know that
An=a+(n-1)d
hence,
a=2
d=10-3=7
putting the value,
An=a+(n-1)d
An=3+(n-1)7
3+7n-7
7n-4
given that
Nth tearm of 1st AP=nth on 11AP
61+2n=7n-4
61+4=7n-2n
65=5n
n=65/5
n=13
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