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insert 3 arithmetic means between negative 12 and 16​

Sagot :

Jhonyrucedo40go

Answer:

• Find the value of the common difference (d) first.

(use the value of the fifth term)

An = A1 + (n-1) d

A5 = 8 + (5-1) d

16 = 8 + 4d [Transpose 8 to other side]

16-8 = 4d

8 = 4d [Divide both sides by 4]

8/4 = 4d/4

2 = d

• Since we, already found the value of d, which is 2, and the sequence given above is an Arithmetic Sequence, just add the common difference to the first term and to the following terms to find the next term,

A1 = 8

A2 = 8 +2 = 10

A3 = 8 +2 +2 = 12

A4 = 8 +2 +2 +2 = 14

A5 = 16

• Now the sequence is; 8, 10, 12, 14, 16,

so the 3 Arithmetic Means between 8 and 16 are,

10, 12, and 14.

Sana nakatulong Ito

#CARRY ON LEARNING

Candazuamgo

-16, _, _, _-8

a_1 = - 16

a_5 = - 8

n=5

a_n= a_1 + (n-1)d

-8= - 16 + (5-1)d

8=4d

2=d

-16, - 14,-12,-10,-8

good evening

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