Edit each sentence to make it correct. Some sentences contain errors in the use of modifiers. Just try more harder the next time, and perhaps you will succeed.

Sum $\sum\limits_{x=1}^{\infty}\left(\frac{3}{5}\right)^x$.

The following letter contains errors in apostrophes in plurals. Insert apostrophes where they are needed, and draw a line through the apostrophes that are not needed.

How many bean's were in the jar?

Find the indicated sum.

$$\sum\limits_{i=1}^4 2i^2$$

Use the error formulas in Theorem $6.20$ to estimate the errors in approximating the integral, with $n=4,$ using (a) the Trapezoidal Rule.

$$\displaystyle \int_{1}^{3} 2x^{3}dx$$

Correct errors related to the use of parentheses and brackets. If the sentence is correct, write Correct.

According to one source, "The studio sought to avoid [legal] trouble with Prince Yusupov."

The following definitions and program segments has errors. Locate as many as you can. int x, *ptr = nullptr; ptr = &x; ptr = 100; // Store 100 in x cout << x << endl;

In this exercise, find the partial sum.

$$\sum\limits_{n=1}^{400}(2 n-1)$$

The sum of two numbers is $36$, and the product is $4$. Find the sum of the reciprocals of the numbers.

Identify and rewrite the words that contain capitalization errors in the following sentence.

Because of his role in originating and popularizing the poetry slam, smith has been nicknamed slampapi.

Sum $\sum\limits_{x=2}^{\infty}\left(\frac{1}{4}\right)^x$.

A squared-based pyramid has slant height 7 centimetres. The edges of the base are 5 centimetres long and the apex is located vertically above the centre of its base.

a. Find the total surface area of the pyramid.

b. Calculate the volume of the pyramid.

Foibles can best be explained as ______.

(A) serious errors produced by carelessness
(B) minor, excusable weaknesses in character
(C) short tales accompanied by morals
(D) disregard of danger

Find the errors in parallelism in the sentence below. Rewrite the sentence, making sentence parts parallel.

I'll spend tonight sitting by the fire, listening to music, and write letters.