1. The equation is a(n) = 7(n - 1) - 15
2. a(n) = a(n - 1) + 5
3. a(n) = (n - 1)64 + 154
4. a(n) = (n - 1)(-3.5) + 24.5
5. a(n) = 32,000 x 1.03^(n - 1)
6. a(n) = a(n - 1) x (1/5) or a(n + 1) = a(n) x (1/5) (((((BOTH WORK))))))
7. a(n) = 50 + (n - 1)(20)
a(14) = 50 + (13)(20)
= 50 + 260 = 310 made on the last day
If considering it in total, it's 50 + 70 + 90 + 110 + 130 + 150 + 170 + 190 + 210 + 230 + 250 + 270 + 290 + 310 = 2520 IN TOTAL
8. a(n) = 115 + (n - 1)(10)
a(14) = 115 + (13)(10)
= 115 + 130
= 245 for only the last day
If considering it complete total, 115 + 125 + 135 + 145 + 155 + 165 + 175 + 185 + 195 + 205 + 215 + 225 + 235 + 245 = 2520 IN TOTAL
9. a(n) = 0.25 x 2^(n - 1)
a(14) = 0.25 x 2^(13)
a(14) = 2048
If considering the grand total, it's 0.25 + 0.5 + 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 = 4095.75
10. a(n) = 10 * (n - 1)(1.1)
10 + 11 + 12.1 + 13.31 + 14.641 + 16.1051 + 17.71561 + 19.487171 + 21.4358881 + 23.5794769 = 159.374246 which is rounded to the nearest hundredth is 159.37.
i have no idea abt 11 and 12
