if 7 times the 7th term of ap is equal to 11 times the 11th term show that 18th term is 0. Can you find first term and common difference .justify
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Answer:
yes we can find
Step-by-step explanation:
given
7(a7) = 11(a11)
to show a18 = 0
7(a + 6d) = 11(a +10 d)
7a + 42 d = 11 a +110 d
7a - 11 a = 110 d - 42 d
-4a = 68 d
a/d = 68 / -4 = 17/-1
therefore a = 17 , d = -1
a18 = 0
a + 17 d = 0
17 + 17 ( - 1) = 0
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