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Remind the AP whose third term …

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Remind the AP whose third term is 16 and the 7th term exceeds the 5th term by 12

Posted by Tarun Kumar 4 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Sonukishore Kamat 4 years, 11 months ago

Sum of n term balavi board Mein aaega

0Thank You

Gaurav Seth 4 years, 11 months ago

We have given a₃ = 16

a + (3 − 1) d = 16

a + 2d = 16 (1)

a₇ − a₅ = 12

[a+ (7 − 1) d] − [a + (5 − 1) d]= 12

(a + 6d) − (a + 4d) = 12

2d = 12

d = 6

From equation (1), we obtain

a + 2 (6) = 16

a + 12 = 16

a = 4

Therefore, A.P. will be

4, 10, 16, 22, …

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CBSE > Class 10 > Mathematics