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# Determine the A.P. Whose 3rd Term is 16 and the 7th Term Exceeds the 5th Term by 12. - ICSE Class 10 - Mathematics

ConceptArithmetic Progression - Finding Sum of Their First ‘N’ Terms.

#### Question

Determine the A.P. Whose 3rd term is 16 and the 7th term exceeds the 5th term by 12.

#### Solution

For given A.P

t_3 = a + 2d = 16 ....(i)

Now

t_7 - t_5 = 12

=> (a + 6d) - (a = 4d) = 12

=> 2d = 12

=> d = 6

Substituting the value of din (i) we get

a + 2 xx 6 = 16

=> a + 12 = 16

=> a = 4

Thus the required A.P = a, a + d, a + 2d, a + 3d,....

= 4, 10, 16, 22,.....

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#### APPEARS IN

Solution Determine the A.P. Whose 3rd Term is 16 and the 7th Term Exceeds the 5th Term by 12. Concept: Arithmetic Progression - Finding Sum of Their First ‘N’ Terms..
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