MCR3U1 - Sequences Quiz Completion Complete each statement. 1. The expression t_(n)=2n^2+1 is considered the __ formula of a sequence. 2.Find the first 5 terms in the sequence that has the general term t_(n)=2n^2+1 __ , __ __ __ , __ The formula for the general term of a sequence where the value of the first term and a defining equation based on the previous term are given is called the __ formula. The sequence 1, 1,23,5,8,13,21 __ is referred to as the __ sequence. The coefficients in the expansion of (x+y)^7 can be found using row __ of Pascal's triangle.

## Step1: Identify the type of formula### The expression is a direct formula for finding the terms of a sequence based on the position . This is known as the "general" formula.## Step2: Calculate the first 5 terms### To find the first 5 terms, substitute into the general formula .For : For : For : For : For : The first 5 terms are .## Step3: Identify the recursive formula### A formula that defines each term based on the previous term(s) is called a "recursive" formula.## Step4: Identify the Fibonacci sequence### The sequence is known as the "Fibonacci" sequence.## Step5: Find the row in Pascal's triangle### The coefficients in the expansion of correspond to row 7 of Pascal's triangle.