Students of different ages are kept in a row,All of them have age difference of 3 years who are consecutive to each other. The age of first students row is 8 years. a) Restate the formula of to find the nth term of AP b) find the age of fourth student in rowc) find the sum of total ages if there are 20 students in a row

Respuesta :

The formula to find the nth term of the AP is 8 + 3(n - 1).

How to calculate the values?

a = first term = 8

d = common difference = 3

The nth term will be:

= a + (n - 1)d

= 8 + (n - 1)3

= 8 + 3(n - 1)

The age of the 4th student will be:

= a + (n - 1)d

= 8 + (4 - 1)3

= 8 + 9

= 17 years

The sum of total ages if there are 20 students in a row will be:

= n/2[2a + (n - 1)d]

= 20/2 [2×8 + (20 - 1)3]

= 10 [16 + (19 × 3)]

= 10(16 + 57)

= 10(73)

= 730

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