Math, asked by TrevorPhilips, 1 year ago

Solve the equation for:
x: 2+5+8+...+x= 155

Answers

Answered by najafathima
1

Answer:

X=10

hope it helps......

Attachments:
Answered by santoshamelia
3

Answer:

29

Step-by-step explanation:

2 + 5 + 8 + . . . . . . + x = 155

a = 2, d = 5 - 2 = 3, Sₙ = 155, n = ?, x = ?

Sₙ = \frac{n}{2}(2a + (n - 1)d)

155 = \frac{n}{2}(4 + 3n - 3)

solving the equation we will get n = 10 and n = \frac{-31}{3}

Rejecting n = \frac{-31}{3}; we will have n = 10

Now,

Sₙ = \frac{n}{2}(a + l)

155 = \frac{10}{2}(2 + x)

solving the equation we will get x = 29.

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