Question

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

Answer 1

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

Answer 2

-2

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