Question

37+37+37+37+...=37*...+4​

Answer 1

31+31+37+37+33=37*4+4

Answer 2

37+37+37+37+33=37*4+4

Answer 3

To simplify the equation you've provided, let's assume that the sum of 37 repeated an unknown number of times is equal to the product of 37 and another unknown number, plus 4. Mathematically, we can represent this as:

37 + 37 + 37 + ... = 37 * x + 4

To proceed, we need to determine the value of x. If we consider the left side of the equation, it represents an infinite series of 37's being added together. This can be expressed using sigma notation as:

∑(37) = 37 + 37 + 37 + ...

To calculate the sum of this infinite series, we can use the formula for the sum of an infinite geometric series, given by:

S = a / (1 - r)

where "S" is the sum of the series, "a" is the first term, and "r" is the common ratio. In this case, the first term (a) is 37, and the common ratio (r) is also 37 since each term is obtained by adding 37 to the previous term.

Plugging these values into the formula, we get:

S = 37 / (1 - 37) = 37 / (-36) = -37/36

Therefore, the sum of the left side of the equation is -37/36.

Now, let's return to the original equation:

-37/36 = 37 * x + 4

To solve for x, we can isolate it by rearranging the equation:

37 * x = -37/36 - 4 37 * x = (-37 - 4 * 36) / 36 37 * x = (-37 - 144) / 36 37 * x = -181 / 36 x = (-181 / 36) / 37 x = -5 / 36

So, the value of x is -5/36.