14. Arithmetic, d = 3
Solution:
an = a1 (n) - an
a1 = 3 (1) - 5
a1 = 3 (-4)
a1 = -12
-12+3 = -9
-12, -9, -6... the common difference is 3 'cause we add 3
15. Not an Arithmetic/Geometric
16. Geometric, r = ½
r = ⅙ ÷ ⅓
r = ½
17. Geometric, r = ⅕
a1 = 3 (1) - ⅕
a1 = 3 (⅘)
a1 = 12/5
12/5(1/5) = 12/25
12/5, 12/25, 12/125... the r is ⅕, just multiply a1 to r.
18. Arithmetic, d = 12
d = 17 - 5
d = 12
19. Not an Arithmetic/Geometric
20. Geometric, r = 10
r = 900 ÷ 90
r = 10
21. Not an Arithmetic/Geometric
HOPE IT HELPS!
I'm not good at math, so let me know if there's something wrong with my calculation ^_^
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Answers & Comments
14. Arithmetic, d = 3
Solution:
an = a1 (n) - an
a1 = 3 (1) - 5
a1 = 3 (-4)
a1 = -12
-12+3 = -9
-12, -9, -6... the common difference is 3 'cause we add 3
15. Not an Arithmetic/Geometric
16. Geometric, r = ½
Solution:
r = ⅙ ÷ ⅓
r = ½
17. Geometric, r = ⅕
Solution:
an = a1 (n) - an
a1 = 3 (1) - ⅕
a1 = 3 (⅘)
a1 = 12/5
12/5(1/5) = 12/25
12/5, 12/25, 12/125... the r is ⅕, just multiply a1 to r.
18. Arithmetic, d = 12
Solution:
d = 17 - 5
d = 12
19. Not an Arithmetic/Geometric
20. Geometric, r = 10
Solution:
r = 900 ÷ 90
r = 10
21. Not an Arithmetic/Geometric
HOPE IT HELPS!
I'm not good at math, so let me know if there's something wrong with my calculation ^_^