The third term of an A. P. is 'p' and the fourth term 'q'. Find the 10th term and the general term.
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Heya!
Here is your answer:
a3= a+2d = p (1)
a4= a+5d = q (2)
So, by (1) &(2)
3d = q-p
d= ( q-p) /3
a= >a+ 2 [ (q-p)/3]= p
a= (5p-2q)/3
a10 = a+9d
[ (5p-2q)/3 ] + 9[ ( q-p) /3]
= [ (5p-2q)/3 ] + ( 9q-9p) /3
= (5p-2q+9q-9p)/3
= (7q-4p)/ 3
Here is your answer:
a3= a+2d = p (1)
a4= a+5d = q (2)
So, by (1) &(2)
3d = q-p
d= ( q-p) /3
a= >a+ 2 [ (q-p)/3]= p
a= (5p-2q)/3
a10 = a+9d
[ (5p-2q)/3 ] + 9[ ( q-p) /3]
= [ (5p-2q)/3 ] + ( 9q-9p) /3
= (5p-2q+9q-9p)/3
= (7q-4p)/ 3
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