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cupoosta [38]
3 years ago
7

The given series has six terms. What is the sum of the terms of the series?

Mathematics
2 answers:
satela [25.4K]3 years ago
6 0
S_n = \dfrac{n(a_1 + a_n)}{2}

S_6 = \dfrac{6(5 + 20)}{2}

S_6 = 75

Of course, you can just add the 6 terms, 5, 8, 11, 14, 17, and 20, and you will also get a sum of 75.
Aleks04 [339]3 years ago
5 0
Given that there are six terms, we have this set:

a_{n} = \{5,8,11,a_{4},a_{5},20}\}

So, we need to find a4 and a5. Given that:

8-5 = 3
11-8 = 3

Then, it is obvious that

a_{4}-11 = 3 ∴ a_{4}=14 
a_{5}-14 = 3 ∴ a_{5}=17 

Then, the sum of the terms of the series is:

S = 5+8+11+14+17+20 = 75
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