The 5th term of an arithmetic sequence is 38 and 9th term is 66.what is it's 25thterm?
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hello Frnd
here is your answer
pls take a look at the pic
hope it helps
#jerri
here is your answer
pls take a look at the pic
hope it helps
#jerri
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Answered by
8
5th term= a+4d
Or 38=a+4d -equation 1
9th term=a+8d
Or 66=a+8d -equation 2
Eq.1-eq2
Or a+4d=38
a+8d=66
- - -
Or -4d= -28
Or d=28/4
d=7
Putting value of d in equation 1
a+4d=38
Or a+28=38
Or a=38-28
Or a=10
Now 25th term
25th term = a+24d
Or 10+24*7
Or 25th term=10+168
Or 25th term=178
Or 38=a+4d -equation 1
9th term=a+8d
Or 66=a+8d -equation 2
Eq.1-eq2
Or a+4d=38
a+8d=66
- - -
Or -4d= -28
Or d=28/4
d=7
Putting value of d in equation 1
a+4d=38
Or a+28=38
Or a=38-28
Or a=10
Now 25th term
25th term = a+24d
Or 10+24*7
Or 25th term=10+168
Or 25th term=178
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