Question

32. The sum of sixth and fourteenth term of an arithmetic
sequence is 40. What is the sum of first 19 terms of the
arithmetic progression?
A) 360
C) 400
B) 380
D) 420
jay

Answer 1

Answer:

it is  b

Step-by-step explanation:

Answer 2

Answer:

We’re told the sum of 2 terms (the 6th and 14th), and then asked for the sum of 19 terms (the 1st through 19th). But the 2 terms we’re told about have the same average as the 19 terms we’re asked about (since 6 + 14 = 1 + 19, so the indices have the same average; and since the sequence is arithmetic, averaging indices corresponds to averaging values). So our answer just scales up by a factor of 19/2, becoming 40 * 19/2 = 380.

Step-by-step explanation:

SO THE ANSWER B)380

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