if the sum of 3rd term and 8th term of an A.P is 7 and the sum of 7th and 14th term is -3. Find the 10th term.
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Answer:
given:a(3) and a(7)=7 and a(7) and a(14)=-3
Step-by-step explanation:
a(n)=a+(n-1)d
a(3)=a+(3-1)d
a(3)=a+2d
a(8)=a+(8-1)d
a(8)=a+7d
so a+7d+a+2d=7
2a+9d=7 is eq 1
a(7)=a+6d
a(14)=a+13d
a+6d+a+13d=-3
2a+19d=-3 is eq 2
From eq 1 and eq 2 we use elimination.
2a+9d=7
2a+19d=-3
_________
-10d=10
d=10÷-10
d=-1
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Answer:
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