the 3rd term of an AP is a and 4th term is b find the 10th term and the general form
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Answer:
10th term is 7b-6a and general form is 4a-3b+n(b-a).
Step-by-step explanation:
Let first term be A and common difference be d.
3rd term = A+2d=a ...... (1)
4th term= A+3d= b ....... (2)
Solve equation 1 and 2.
You get
d= b-a.
A=3a-2b.
10th term= A+9d=3a-2b+9b-9a=7b-6a.
general term
=A+(n-1)d
=3a-2b+nb-na+a-b
=4a-3b+n(b-a)
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