Question

A1= –5 и a2= –11. a3= a4= S4=

Answer 1

D = -11- (-5) = -11+5 = -6
а3= -11+(-6) = -17
а4 = -17+(-6) = -23
S4= -5+(-11)+(-17)+(-23)= -56

Answer 2

To find the values of a3, a4, and S4 (the sum of the first four terms of the sequence), we need to identify the pattern in the given sequence. The sequence seems to be an arithmetic sequence, where each term is obtained by adding a constant difference (d) to the previous term.

The common difference (d) can be calculated using the first two terms (A1 and a2):

d = a2 - A1 = (-11) - (-5) = -11 + 5 = -6

Now that we know the common difference (d = -6), we can find the next terms:

a3 = a2 + d = (-11) + (-6) = -17

a4 = a3 + d = (-17) + (-6) = -23

Now, let's find the sum of the first four terms (S4):

S4 = A1 + a2 + a3 + a4 = (-5) + (-11) + (-17) + (-23) = -46

So, the values of a3, a4, and S4 are:

a3 = -17 a4 = -23 S4 = -46