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100th term for 5, 2, -1

Sagot :

Answer:

100th term = -1485

Step-by-step explanation:

Arithmetic Progressionthe

nth term, Tn:

[tex]t_{n} = a + (n - 1)d[/tex]

n = number of terms

= 100

a = first term

= 5

d = difference

= second term - first term

= 2 - 5

= -3

substitute the values into the formula

[tex]t_{100} = 5(100 - 1)( - 3)[/tex]

[tex]t_{100} = 5(99)( - 3)[/tex]

[tex]t_{100} = 495( - 3)[/tex]

[tex]t_{100} = - 1485[/tex]