Answer:
37,191
Step-by-step explanation:
You would first use the arithmetic sequence, which is a_n=a_1+(n-1)(d). Since you already have your a1, d, and n figured out, all you need to do is find the a_n. So, you would plug in your values. You should get -3520 as your answer for this equation, or in this case a_n=-3520. The reason why it's negative is because your common difference was negative.
Next, you would use the equation Sn=n(a1+an)/2. You already have all of your variables solved, so now you just plug everything in. As the answer, you should get -1749. Make sure you do not subtract -3520. What I mean by this is don't make the negative a subtraction sign. Add the negative to the 22. Otherwise, you will get it wrong.
Hope this helps!
The 21st term will be -146
The nth value of an arithmetic progression is calculated as:
= a + (n - 1)d
where,
a = first term = 22
d = difference = -8
n = 21
Therefore, we'll put the values into the formula and this will be:
= a + (n - 1)d
= 22 + [(21 - 1) × -8]
= 22 + (21 × -8)
= 22 - 168
= -146
Therefore, the value is -146.
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