To find the value of a3, we need to know the common difference between consecutive terms in the arithmetic progression.
Let's assume the common difference is d. Then, we can express a2, a3, and a4 in terms of a2:
a2 = a2a3 = a2 + da4 = a2 + 2d
We know that a2 + a3 + a4 = 55, so we can substitute the expressions above into this equation:
a2 + (a2 + d) + (a2 + 2d) = 553a2 + 3d = 55a2 + d = 55/3
Since a2 + d = 55/3 and a3 = a2 + d, we can conclude that a3 = 55/3.
To find the value of a3, we need to know the common difference between consecutive terms in the arithmetic progression.
Let's assume the common difference is d. Then, we can express a2, a3, and a4 in terms of a2:
a2 = a2
a3 = a2 + d
a4 = a2 + 2d
We know that a2 + a3 + a4 = 55, so we can substitute the expressions above into this equation:
a2 + (a2 + d) + (a2 + 2d) = 55
3a2 + 3d = 55
a2 + d = 55/3
Since a2 + d = 55/3 and a3 = a2 + d, we can conclude that a3 = 55/3.