Step-by-step explanation: you have to do order of operations witch is PEMDAS so you do Parentheses then exponents multiplication or division and addition or subtraction but you do it depending how it starts and in this case you have to subtract the 2 numbers and then add the answer of the multiplication problem

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Determine sum of the first 16 terms (S16) for an arithmetic series given the first tem is 9 (a = 9) and

Mekhanik [1.2K]

$\boxed{Sum=624}$

<h2>Explanation:</h2>

The nth term of an arithmetic series ( $a_{n}$ ) and the sum of an arithmetic series (Sum), for n terms, can be found as:

$a_{n}=a_{1}+d(n-1) \\ \\ Sum=\frac{n}{2}[2a_{1}+(n-1)d] \\ \\ \\ Where: \\ \\ a_{1}:First \ term \\ \\ d:Common \ difference \\ \\ n=Number \ of \ term$

So, in this exercise:

$a_{1}=a=9 \\ \\ d=4 \\ \\ n=16 \\ \\ \\ Sum=\frac{16}{2}[2(9)+(16-1)4] \\ \\ Sum=8[18+(15)4] \\ \\ Sum=8[18+60] \\ \\ Sum=8[78] \\ \\ \boxed{Sum=624}$

<h2>Learn more:</h2>

Missing numbers in triomino: brainly.com/question/10510270

#LearnWithBrainly

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3 years ago