135k views
5 votes
Express the following in summation (sigma) notation. 1 + x + x²/2 + x³/32 + x⁴/4 + ... + xⁿ/n(n-1)...

User JoeAC
by
8.6k points

1 Answer

6 votes

Final answer:

The given expression can be expressed in summation (sigma) notation as ∑(xⁿ/n(n-1)).

Step-by-step explanation:

The given expression:

1 + x + x²/2 + x³/32 + x⁴/4 + ... + xⁿ/n(n-1)

can be expressed in summation (sigma) notation as follows:

∑(xⁿ/n(n-1))

where n ranges from 1 to infinity.

In this notation, the symbol ∑ represents the summation of all terms, x represents the variable, and the expression xⁿ/n(n-1) represents each term in the series. The exponent n indicates the power of x, and n(n-1) represents the denominator of each term.

User Wibbler
by
7.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories