A company was penalized by the government act for low quality production. If the company has 3 share holders Umer, Usman \& \( \& \) Furqan investing in the ratios of \( 2: 3: 4 \) and the amount of penalty is Rs. 456 , 885 , 67 . Find the amount of penalty paid by each of 3 share holders.

Suites arithmétiques Les questions sont indépendantes. 1. On définit pour tout \( n \) la suite \( \left(U_{n}\right) \) par : \[ U_{n}=3 n-2 \] Montrer que \( \left(U_{n}\right) \) est une suite arithmétique. 2. Soit \( \left(U_{n}\right) \) une suite arithmétique de premier terme \( U_{0}=5 \) et de raison \( \frac{1}{3} \). Calculer le \( 9^{\text {ieme terme, puis calculer la }} \) somme : \( S=U_{0}+U_{1}+U_{2}+\ldots+U_{8} \)

If the sum is 18 and you turned over a 7 , how would you find the new sum? Share your strategy.

Example 3 If a student saves Ghe 1 on the first day, Ghe 2 on the second day, Ghe 3 on the thit day and so on. What will be his total saving in 365 days?

If the sum was 24 and you turned over an 8 , how would you find the difference? share your strategy.

With your teacher: The first term of a arithmetic sequence is 14 . The \( 7^{\text {th }} \) term is 50 . Find: (a) The common difference ' \( d \) '. (b) The rule for the sequence. The \( 6^{\text {th }} \) term of an arithmetic sequence is 123 . The \( 11^{\text {th }} \) term is 98 . Find; (a) The common difference ' \( d \) ' and first term ' \( a \) '. The rule for the sequence. (b) (c) \( 16^{\text {th }} \) term.