For what value of k, are the numbers x, 2x + k and 3x + 6 three

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Advertisement

Arithmetic Progressions

Short Answer Type

271. The nth term of an A .P. is 7 – 4n find its common difference.

96 Views

272. Write the common difference of an A .P. whose nth term is 3n + 5.

100 Views

Advertisement

273. For what value of k, are the numbers x, 2x + k and 3x + 6 three consecutive terms of an A .P.

x, 2x + k,3x + 6 are in A .P. if
(2x + k) – x = (3x + 6) – (2x + k)
⇒ 2x + k – x = 3x + 6 – 2x – k
⇒ x + k = x + 6 – k
⇒ 2k = 6
⇒ k = 3

971 Views

Advertisement

274. The 17th term of an A .P. exceeds its 10th term by 7. Find the common difference.

104 Views

Advertisement

275. If 9th term of an A .P. is zero. Prove that 29th term is double of its 19th term.

92 Views

276. If 5th term of an A .P. is zero. Prove that its 23rd term is three times its 11th term.

100 Views

277. How many numbers of two digits are divisible by 7?

109 Views

278. Determine the A .P. whose 3rd term is 5 and the 7th term is 9.

100 Views

Advertisement

279. Find the middle term of the A .P. 10,7,4, ...... (– 62).

95 Views

280.

How many two digit numbers are divisible by 3.

107 Views

Advertisement