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4 years ago

Find the 12th term of the arithmetic sequence given a3=116 and a7=180

Mathematics

1 answer:

SOVA2 [1]4 years ago

5 0

Answer:

Step-by-step explanation:

nth term = a +(n-1)d

a3 = 116 ; a + 2d = 116 ---------(i)

a7 = 180; a + 6d = 180 -------(ii)

multiply (ii) by -1. so a will be eliminated

a + 2d = 116 ---------(i)

(ii)*-1 -a - 6d = -180 -------(ii) { Now add the two equations}

- 4d = -64

d = -64/-4

d = 16

Plug in the value of d in equation (i),

a + 2*16 = 116

a + 32 = 116

a = 116 - 32

a = 84

12th term = 84 + 11* 16 = 84 + 176 = 260

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Find the 12th term of the arithmetic sequence given a3=116 and a7=180​

Find the 12th term of the arithmetic sequence given a3=116 and a7=180