274.The 17th term of an A .P. exceeds its 10th term by 7. Find the common difference.
Let a be the first term and d be the common difference of the A .P. According to given statement, a17 = a10 +7 ⇒ a + 16d = a + 9d + 7 ⇒ 16d – 9d = 1 ⇒ 7d = 7 ⇒ d = 1.
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275.If 9th term of an A .P. is zero. Prove that 29th term is double of its 19th term.
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276. If 5th term of an A .P. is zero. Prove that its 23rd term is three times its 11th term.
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277.How many numbers of two digits are divisible by 7?
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278.Determine the A .P. whose 3rd term is 5 and the 7th term is 9.
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279.Find the middle term of the A .P. 10,7,4, ...... (– 62).