How to do sequences and series

a) The common difference = 7 – 4 = 3. b) The nth term of the arithmetic sequence is denoted by the term Tn and is given by Tn = a + (n-1)d, where “a” is the first term and d is the common

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Sequences and Series (part 1)

We can calculate the sum to n terms of a geometric sequence using the below formula. The Formula of Geometric Series In general, we can define geometric series as ∑ n = 1 ∞ a r n = a +

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Sequence and Series-Definition, Types, Formulas and

By adding another row of dots and counting all the dots we can find the next number of the sequence. But it is easier to use this Rule: x n = n (n+1)/2. Example: the 5th Triangular Number

Arithmetic sequences and series

s n is the sum of the first n terms therefore n = 35. a is the first term, so a = 2. d is the common difference, so d = 6. then s 35 = 35 2 ( 2 ⋅ 2 + ( 35 − 1) 6) Two different formulas can be used

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Sequences and Series

Learn. Recursive formulas for arithmetic sequences. Recursive formulas for arithmetic sequences. Using arithmetic sequences formulas. Worked example: using recursive formula

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