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Find the 43rd term of the sequence 100, 73, 46, 19, -8

Sagot :

Answer:

43rd term is - 1034

Step-by-step explanation:

The sequence is arithmetic and has a common difference d =  -27.

d is found by finding 73 - 100 = 46 - 73 = 19 -46 = -27

Now use the formula

[tex]a_{n} = a_{1} + (n - 1)d[/tex]   The first term is 100 and n = 43 in your problem

[tex]a_{43}[/tex] = 100 + (43 - 1)(-27)

     = 100 + 42(-27)

     = 100 - 1134

     = -1034