Question

A 13 = 254 and a 33 = 654 Find a 27

Answer 1

Answer:

The value of a₂₇ is 294

Step-by-step explanation:

a₁₃ = 254

a₃₃ = 654

Now,

a₁₃ = 254 can be written as

a + 12d = 254 ...(1) and

a₃₃ = 654 can be written as

a + 32d = 654 ...(2)

Now, from equation (2) we get,

a + 32d = 654

a + 12d + 20d = 654

254 + 20d = 654 (.°. a + 12d = 254)

20d = 654 - 254

20d = 400

d = 400 ÷ 20

d = 20

Now, for the value of a put the value of d = 20 in equation (1)

a + 12d = 254

a + 12(20) = 254

a + 240 = 254

a = 254 - 240

a = 14

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 14 + 9(20)

a₂₇ = 14 + 180

a₂₇ = 294

Thus, The value of a₂₇ is 294

-TheUnknownScientist