The first term , difference
and n = 22.
Find the nth term, so using the nth term formula: .
(Substitute
, and
)
Distibute terms using distributive property: a(b – c)= ab – ac.
\Apply commutative property of addition: a + b = b + a.
\ (Subtract:
)
(Divide:
)
Find the 22th term in the sequence.
\ (Substitute n = 22)
(Multiply:
)
Find the Least Common Multiple of 2 and 4.
\Multiples of 2: 2, 4, 6, 8, 10............
\Multiples of 4: 4, 8, 12, 16, 20..............
\The least common multiple of 2 and 4 is 4, the LCD is 4.
\Rewrite each fraction using the least common denominator (LCD).
\Rewrite the sum using the LCD.
\ (LCM is 4)
(Add: 11 + 2 = 13)
The 22th term of the arithmetic sequence .