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Arithmetic Progressions

Short Answer Type

21.

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
0.2, 0.22, 0.222, 0.2222, . . .

123 Views

22.

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
0, – 4, – 8, –12, . . .

129 Views

23.
Which of the following are APs? If they form an AP, find the common difference d and write three more terms.

$negative 1 half comma space minus 1 half space. space minus 1 half space. negative 1 half space comma.....$

negative 1 half comma space minus 1 half space. space minus 1 half space. negative 1 half space comma..... straight a subscript 2 minus straight a subscript 1 equals negative 1 half comma space minus open parentheses negative 1 half close parentheses space equals negative 1 half plus 1 half equals 0 straight a subscript 3 minus straight a subscript 2 equals negative 1 half minus open parentheses negative 1 half close parentheses equals negative 1 half plus 1 half equals 0 straight a subscript 4 minus straight a subscript 3 equals negative 1 half space minus open parentheses negative 1 half close parentheses equals negative 1 half plus 1 half equals 0

i.e., a_{k + 1} – a_k is the same every time. So, the given list of numbers forms an A .P. with the common difference d = 0.
The next three terms are :

minus 1 half plus 0 equals negative 1 half comma space plus negative 1 half space plus space 0 space equals space minus 1 half and space space space minus 1 half space plus 0 equals space minus 1 half

233 Views

24.

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
1, 3, 9, 27, . .

114 Views

25.

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
a, 2a, 3a, 4a, . .

120 Views

26.

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
a, a₂ , a₃ , a₄ , . . .

120 Views

27.

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.

$<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

123 Views

28.

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.

$square root of 3 comma space square root of 6 comma space square root of 9 comma space square root of 12 comma space.....$

122 Views

29.

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
1², 3², 5², 7²,.......

99 Views

30.

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
1², 5², 7², 73,.......

87 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

23. Which of the following are APs? If they form an AP, find the common difference d and write three more terms.

23.
Which of the following are APs? If they form an AP, find the common difference d and write three more terms.

$negative 1 half comma space minus 1 half space. space minus 1 half space. negative 1 half space comma.....$