Question 7 An arithmetic sequence follows the formula \( a_{n}=-14+6(n-1) \). Find the value of \( a_{150} \) O908 O880 8986

To find the value of \( a_{150} \), we can plug in \( n = 150 \) into the formula \( a_{n} = -14 + 6(n-1) \): \[ a_{150} = -14 + 6(150 - 1) \] \[ = -14 + 6(149) \] \[ = -14 + 894 \] \[ = 880 \] So, the correct choice is O880. For a little extra fun, did you know that arithmetic sequences can be found everywhere? From predicting future profits in business to calculating distances in sports, this mathematical concept helps in making critical decisions with ease. Also, if you're intrigued by sequences, you might want to explore geometric sequences next! While arithmetic sequences add a constant, geometric ones multiply by a constant, leading to some interesting applications in finance and computer science. Happy learning!