197683 197683
  • 22-04-2021
  • Mathematics
contestada

Find the 53rd term of the arithmetic sequence -12, -1, 10

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goodwinunekwuojoceci
goodwinunekwuojoceci goodwinunekwuojoceci
  • 22-04-2021

440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

Answer Link
Stephen46
Stephen46 Stephen46
  • 22-04-2021

Answer:

560

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

Since we're finding the 53rd term

a = - 12

n = 53

d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11

d = 11

So we have

A(53) = - 12 + (11)(53 - 1)

= - 12 + 11(52)

= -12 + 572

= 560

We have the final answer as

560

Hope this helps you

Answer Link

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