Section 11.2 Arithmetic Sequences IBTWW: 9/8/2015 Honors Precalculus.
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Transcript of Section 11.2 Arithmetic Sequences IBTWW: 9/8/2015 Honors Precalculus.
Section 11.2Arithmetic Sequences
IBTWW:
04/21/23
Honors Precalculus
Arithmetic Sequence
nth term of an arithmetic sequence
Sum of the first n terms of an arithmetic sequence
Has a common difference (d) between terms
ex: 1, 4, 7, 10, . . .
1 2, ,1,
3 3
d = 3
1d =
3
1 1na a n d nth
term1st
term
common difference
1
2n
n
a aS n
Sum of n terms
average term
number of terms
1. Find the 50th term of 1,4,7, …
2. Find the first term and the common difference of the arithmetic sequence with 8th term 28 and 5th term 10.
1 1na a n d
50 1 50 1 3a
d = 3
50 1 49 3a
50 1 147a 148
1 1na a n d 8 5
8 5
a ad
28 10
8 5
6
18
3 8 1 8 1 6a a
128 42a
114 a
3. Find the sum of2 + 5 + 8 + . . . + 41
d = 3
1a 21
2n
n
a aS n
2 41
2nS n
na 41
1 1na a n d 41 2 1 3n
41 3 1n 42 3n14 n
14 21.5 14S
14 301S
Section 11.2Arithmetic Sequences
IBTWW:
Honors Precalculus
Arithmetic Sequence
nth term of an arithmetic sequence
Sum of the first n terms of an arithmetic sequence
ex: 1, 4, 7, 10, . . .
1 2, ,1,
3 3
1. Find the 50th term of 1,4,7, …
2. Find the first term and the common difference of the arithmetic sequence with 8th term 28 and 5th term 10.
3. Find the sum of2 + 5 + 8 + . . . + 41