Answer:
The cost of six magnets is $1.10
Step-by-step explanation:
The cost of 1 magnet = $ 0.20
Cost of 2 Magnets = $ 0.38
Now, the series of the cost of magnets is:
0.20 , 0.38, 0.56 , 0.74,...
Now, the above series forms an Arithmetic Progression as
0. 38 - 0. 20 = 0.18
and 0. 56 - 0. 38 = 0.18
Hence, the common difference of the series = 0.18
and first term of the series = 0.20
By , A.P a(n) = a + (n-1) d
⇒[tex]a_6 = 0.20 + (6-1)(0.18) \implies a_6 = 0.20 + 5(0.18)[/tex]
or, a(6) = 0.20 + 0.9 = 1.1
or, the sixth term in the sequence is $1.1
Hence, the cost of six magnets is $1.1
