Question

write the next three numbers in the series 5.44, 5.42, 5.40​

Answer 1

5.44,5.42,5.40,5.38,5.36,5.34,5.32,5.30,5.28,5.26...

Hope this helps to you and old mark me as a brainiest

Answer 2

According to the question, a series is given: 5.44, 5.42, 5.40 and we need to find next three terms of the series.

Here, we know that:

• First Term(a) = 5.44

We know that, common difference(d) is calculated as:

⇒ d = Second term - First term

⇒ d = 5.42-5.44

⇒ d = -0.02

Also, we know that:

⇒ d = Third Term - Second Term

⇒ d = 5.40 - 5.42

⇒ d = -0.02

Hence, we have found the common difference and it is same throughout the series. Hence, the series is an A.P (Arithmetic Progression).

We know that, nth term of an A.P is generalized by a+(n-1)d. We are going to use this formula to find the 4th, 5th and 6th term of the series (next three terms).

⇒ a₄ = a+(4-1)d

⇒ a₄ = a+3d

⇒ a₄ = 5.44+(3×-0.02)

⇒ a₄ = 5.44-0.06

⇒ a₄ = 5.38

Similarly,

⇒ a₅ = a+(5-1)d

⇒ a₅ = a+4d

⇒ a₅ = 5.44+(4×-0.02)

⇒ a₅ = 5.44-0.08

⇒ a₅ = 5.36

Also,

⇒ a₆ = a+(6-1)d

⇒ a₆ = a+5d

⇒ a₆ = 5.44+(5×-0.02)

⇒ a₆ = 5.44-0.1

⇒ a₆ = 5.34

Hence, the next three terms of the series are 5.38, 5.36 and 5.34