f(n)-f(n-1)=15text{and}f(1)=4W eching

$$f ( n ) - f ( n - 1 ) = 15 \text { and } f ( 1 ) = 4 W$$

f, n, W uchun yechish

$$f=15$$

$$n\in \mathrm{R}$$

$$W = \frac{15}{4} = 3\frac{3}{4} = 3,75$$

Yechim qadamlari

Birinchi tenglamani yeching. f ga n-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$fn-\left(fn-f\right)=15$$

fn-f teskarisini topish uchun har birining teskarisini toping.

$$fn-fn+f=15$$

0 ni olish uchun fn va -fn ni birlashtirish.

$$f=15$$

Ikkinchi tenglamani yeching. Tenglamaga o‘zgaruvchining ma’lum qiymatlarini joylang.

$$15\times 1=4W$$

15 hosil qilish uchun 15 va 1 ni ko'paytirish.

$$15=4W$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$4W=15$$

Ikki tarafini 4 ga bo‘ling.

$$W=\frac{15}{4}$$

Tizim hal qilindi.

$$f=15 W=\frac{15}{4}$$