Question

type the missing numbers in this sequence: 44, , 24, , 4, -6, -16

Explanation:

Step1: Find the common difference

Looking at the known terms after 24: from 4 to -6, the difference is $-6 - 4 = -10$; from -6 to -16, the difference is $-16 - (-6) = -10$. So the common difference $d = -10$.

Step2: Find the first missing number

To find the number after 44, we use the formula for an arithmetic sequence: $a_{n}=a_{1}+(n - 1)d$. Here, $a_{1}=44$, $n = 2$, $d=-10$. So $a_{2}=44+(2 - 1)\times(-10)=44 - 10 = 34$.

Step3: Find the second missing number

To find the number after 24, $a_{1}=24$, $n = 2$, $d=-10$. So $a_{2}=24+(2 - 1)\times(-10)=24 - 10 = 14$.

Answer:

34, 14