Arithmetic SequenceArithmetic Progr

Arithmetic Sequence
Arithmetic Progression

A sequence such as 1, 5, 9, 13, 17 or 12, 7, 2, –3, –8, –13, –18 which has a constant difference between terms. The first term is a1, the common difference is d, and the number of terms is n.



Explicit Formula: an = a1 + (n – 1)d
Example 1: 3, 7, 11, 15, 19 has a1 = 3, d = 4,
and n = 5. The explicit formula is
an = 3 + (n – 1)·4 = 4n – 1
Example 2:
3, –2, –7, –12 has a1 = 3, d = –5,
and n = 4. The explicit formula is
an = 3 + (n – 1)(–5) = 8 – 5n

ผลลัพธ์ (อังกฤษ) 2:

Arithmetic Sequence
Arithmetic Progression Such As A Sequence 1, 5, 9, 13, 17 or 12, 7, 2, -3, -8, -13, -18 which has a Constant difference between terms. The First term is A1, The Common difference is D, and The number of terms is n. Explicit Formula: an = A1 + (n - 1) D. Example 1: 3, 7, 11, 15, 19 has A1 = 3,. D = 4, and n = 5. The Explicit Formula is. an = 3 + (n - 1) · 4 = 4N - 1. Example 2: 3, -2, -7, -12 has A1 = 3, D = -5. , and n = 4. The Explicit Formula is. an = 3 + (n - 1) (- 5) = 8 - 5N.

ผลลัพธ์ (อังกฤษ) 3:

Arithmetic Sequence
Arithmetic Progression

A sequence such as 1 5 9 13,,,,,, 17 or 12 7, 3 2 - - -,,, 8 13 - 18 which has. A constant difference between terms. The first term is A1 the common, difference is D and the, number of terms is n.



Explicit. Formula: an = A1 (n - 1) d
Example 1: 3 7 11,,,, 15 19 has A1 =, =, 3 D 4
and N = 5. The explicit formula is
an = 3. (n - 1 approaches 4 = 4N - 1
.Example 2:
3 - -,,, 2 7 - 12 has A1 =, =, - 3 D 5
and N = 4. The explicit formula is
an = 3 (n 1) - (-) - 5 = 8 5N

.