Question

Find the missing value of x in the arithmetic sequence below. 6, 2, x, -6, -10

Answer 1

Answer:

-2

Step-by-step explanation:

Find the missing value of x in the arithmetic sequence below.

6, 2, x, -6, -10

6 - 4 = 2

2 - 4 = -2

-2 -4 = -6

-6 -4 = -10

Answer 2

Given Arithmetic Sequence -

• 6, 2, x, -6, -10

To Find -

• Third term,x

Solution -

☯︎ Let us find common difference,d by subtracting first term from second .i e.,$a_2-a_1$ ,where $a_1$ and $a_2$ are first and second term .

✰common difference,d= 2-6 = -4

General term of Arithmetic Sequence,

$\boxed{a_n = a+(n-1)d}$

where,

• $a_n$ = nth term
• a = first term
• n = number of term
• d = common difference

So,

❄︎$a_3 = a+(3-1)d$

➪x = 6 + 2 × (-4)

➪x = 6 +(-8)

➪x = 6-8

➪x = -2