Consider the sequence: 6, 10, 14, 18, 22, . . for this sequence, what is a3? a3 =

The given sequence is ⇒⇒⇒  6, 10, 14, 18, 22, . . . .

We can note that the difference between any two consecutive terms is a constant

So, the given sequence is Arithmetic Sequence
The general rule for the the arithmetic Sequence ⇒ [ a + d(n-1) ]

where a is the first term and d is the common difference

For the given sequence the first term = 6 
And the common difference = 10 - 6 = 4


∴ a₃ = 6 + 4 (3 -1 ) = 14


Another solution ( easy solution ):
a₃ ⇒⇒⇒ is the third term of the sequence and can be known directly from the given sequence which is 14