2 - T₂ - T = 6-2 = 4
The common difference is 4, so the next two terms are 18 and 22 from
14 + 4; and 14 + 4 + 4.
Substitute a = 2 and d = 4 into the formula T, = a + (1 - 1)d
To = 2 + (m - 1)(4)
= 4n - 2
Substitute n =
25 into T, = 4n - 2 to find the value of T25
T25 = 4(25) - 2 = 98
Substitute T,
471 - 2 = 46 4n = 48 and n = 12
The twelfth term has a value of 46.
4
= 46 into T1 = 4n - 2 to determine the value of n.
on
n represents the position of a term and it cannot be negative, a fraction or
Zero.
If n is a whole number, then 72 is a term in the sequence.
If n is negative, zero or a fraction, then 72 is not a term in the sequence.
Substitute TR = 72 into the formula into T, = 4n - 2
.
1
471 - 2 = 724n = 74 and n = 18,5 so 72 is not a term in the sequence​