31.9k views
3 votes
What is the sum of the arithmetic series: s10 = -20, d = 4, a1 =? ​

2 Answers

4 votes

Answer:

first term a1 is -40.

Explanation:

in an arithmetic series,

sum of first term terms (S10) = -20

Common difference (d) = 4

first term (a)= ?

number of terms (n)= 10

now,

S10 =( n÷2) [a1 +(n-1) d]

or, -20 = (10÷2) [a1 + (10-1) 4]

or, -20 = 5 ( a1 + 36)

or, -4 = a1 + 36

or, a1 = -40

User Tom Winter
by
5.9k points
6 votes

Explanation:


\green\star Given


\blue\stars10 = -20


\blue\starn = 10


\blue\star an = -20


\green\star solution


\green\stars10 = n\2 [a+(n-1)d]


\green\star-20 = 10a2[a+(10-1)4]


\green\star-4 = a +36


\green\stara1 = -40


\small\boxed{a = -40}

Hope it helps.

Hope it helps

User Adam Rackis
by
5.8k points