Question

The sum of 3 consecutie integers is 387 what is the sixth number in the sequence?

Answer 1

Your question has some mistakes. Following is the correct question :-

$\red{Question}$ :- The sum of 6 consecutive integers is 387. What is the sixth number in the sequence?


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$\blue{Solution}$ :-

Let the 6 consecutive integers be x, x + 1, x + 2, x + 3, x + 4 and x + 5

Given, their sum is 387


According to the question,

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 387

➾ 6x + 15 = 387

➾ 6x = 387 - 15

➾ 6x = 372

➾ x = $\dfrac{372}{6}$

➾ x = 62



♠ 1st number ➾ x

➾ $\boxed{\boxed{\boxed{62}}}$


♠ 2nd number ➾ x + 1

➾ 62 + 1

➾ $\boxed{\boxed{\boxed{63}}}$


♠ 3rd number ➾ x + 2

➾ 62 + 2

➾ $\boxed{\boxed{\boxed{64}}}$


♠ 4th number ➾ x + 3

➾ 62 + 3

➾ $\boxed{\boxed{\boxed{65}}}$


♠ 5th number ➾ x + 4

➾ 62 + 4

➾ $\boxed{\boxed{\boxed{66}}}$


♠ 6th number ➾ x + 5

➾ 62 + 5

➾ $\boxed{\boxed{\boxed{67}}}$




∴ 6th number in the sequence is $\red{\underline{\underline{67}}}$

Answer 2

$\huge\sf \red{here \: is \: your \: answer}$

$\bold \red{let \: the \: three \: three \: consecutive \: number \: be \:x}$

Next be x+1

Next be x+2

Next be x+3

Next be x+4

Next be x+5

A equation formed =387

6x+15=387

6x = 387-15

6x =372

X =372/6

X = 62

so you all equation in this X put........................

X = 62

Next be x+1=62+1=63

Next be x+2=62+2=64

Next be x+3=62+3=65

Next be x+4=62+4=66

Next be x+5=62+5=67

6th sequence in 67 answer ☺☺☺