5. In an arithmetic sequence of numbers ay = -4 and a = 46. Which of the following is the value of 22?
(1) 120
(3) 92
(2) 146
(4) 106

Respuesta :

In an arithmetic sequence of numbers that has a1 = -4 and a = 46, the value of the 12th number is mathematically given as

T 12 = 106, Option D is correct

What is the value of 12th number?

Generally, the equation for the arithmetic sequence is mathematically given as

Tn = a + (n-1)d

Where

a​​​​​​1 = -4

and

T​​​​​​6 = a​​​​​​6 = 46

T6= -4 + 5d

50 = 5d

d = 10

In conclusion

T​​​​​​12 = -4 + (12-1)10

T12= -4 +110

T 12 = 106

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