Find the 93rd term of the arithmetic sequence -5,-15,-25

Arithmetic Sequence

The value of the 93th term of this arithmetic series is -925

Step-by-step explanation:

The first term of the arithmetic term is a = -5                                                                                

And the common difference is d = a2-a1 = -15 - ( - 5) = -10

So the 93th term if this arithmetic progression is given by

    an = a + (n-1) × d  

where an is the nth term of the arithmetic progression

so in order to calculate the 93rd term (a93), the value of n = 93

so a93 = -5 + (93-1) × (-10)

a93 = -5 + (-920 )

a93 = -925

Hence the value of the 93th term of this arithmetic series is -925