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  

The 93rd term of the arithmetic sequence is -925.

Here, we have to find the nth term of an arithmetic sequence, you can use the formula:

nth term = first term + (n - 1) * common difference

where:

first term = the first term of the sequence

common difference = the difference between consecutive terms

n = the term number you want to find

In this case, we have the arithmetic sequence:

-5, -15, -25, ...

Here, the first term (a) is -5,

and the common difference (d) is -15 - (-5) = -10.

Now, we want to find the 93rd term (n = 93) of this sequence.

nth term = -5 + (93 - 1) * (-10)

nth term = -5 + 92 * (-10)

nth term = -5 + (-920)

nth term = -925

So, the 93rd term of the arithmetic sequence is -925.

To lean more on Arithmetic progression click:

brainly.com/question/28898589

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