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Identify the Sequence 6 , 10 , 14 , __
  1. 18
  2. 20
  3. 28
  4. 30
Explanation
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">4 to the previous term in the sequence gives the next term. In other words, an=a1+d(n-1)" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">��=�1+�(�-1).
Arithmetic Sequence: d=4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">�=4
This is the formula of an arithmetic sequence.
an=a1+d(n-1)" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">��=�1+�(�-1)
Substitute in the values of a1=6" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">�1=6 and d=4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">�=4.
an=6+4(n-1)" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">��=6+4(�-1)
Simplify each term.
Tap for more steps...
an=6+4n-4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">��=6+4�-4
Subtract 4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">4 from 6" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">6.
an=4n+2" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">

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The principal and operation accounts are in the ratio of 7:5. If Rs. 90,000 is transferred from the principal account to the operation account, the ratio becomes 5:4. What was the original amount in the principal account?
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