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.

Arithmetic Progressions

Short Answer Type

61. Find the sums given below:
34 + 32 + 30 + . . . + 10

129 Views

62. Find the sums given below:
–5 + (–8) + (–11) + . . . + (–230)

154 Views

63.

In an AP
Given a = 5, d = 3, a_n=50, find n and S_n.

217 Views

64.
In an AP
given a = 7, a₁₃=35, find d and S₁₃.

Here, a = 7, a₁₃=35, find d and S₁₃.
We know that, a_n= a + (n - 1)d
$rightwards double arrow$ a₁₃ = 7 + (13 - 1)d
$rightwards double arrow$ 35 = 7 + 12d
$rightwards double arrow$ 35 - 7 = 12d
$rightwards double arrow$ 12d = 28
$<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

And comma space space space space straight S subscript 13 equals 13 over 2 open square brackets 2 cross times 7 plus left parenthesis 13 minus 1 right parenthesis cross times 7 over 3 close square brackets space space space space space space space space space space space space space space space space space space space space open square brackets because space straight S subscript straight n equals straight n over 2 left square bracket 2 straight a plus left parenthesis straight n minus 1 right parenthesis straight d close square brackets space space space space space space space space space space space space space space space equals 13 over 2 left square bracket 14 plus 28 right square bracket space space space space space space space space space space space space space space space equals space 13 over 2 cross times 42 equals 13 cross times 21 equals 273 Hence comma space space space space straight d space space space equals 7 over 3 space and space straight S subscript 13 equals 273

458 Views

65.

In an AP
Given a₁₂ = 37, d = 3, find ‘a’ and S₁₂.

538 Views

66. Given a₃ = 75, S₁₀ = 120, find ‘d’ and a_10.

135 Views

67.

In an AP
Given d = 5, 5₉ = 75, find ‘a’ and ‘a’

182 Views

68. Find the sum of the series 5 + 7 + 9+ 10 + 13 + 13 + 17 + 16 +.........to 40 terms.

230 Views

69. Find four numbers in A .P. whose sum is 20 and the sum of whose squares is 180.

253 Views

70. Prove that no matter what the real numbers ‘a’ and ‘b’ are the sequence with nth term a + nb is always an A .P. what is the common difference ? What is the sum of the first 20 terms.

256 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

64. In an APgiven a = 7, a13 =35, find d and S13.

64.
In an AP
given a = 7, a₁₃=35, find d and S₁₃.