what are the progress in human life during the Mesolithic age?
Answers
The number of trees in consecutive rows increase by 1. So, it this is an Arithmetic progression, where d = 1, a = trees in first row = 1 and n = number of rows = 25. We have to find out number of trees in 25 rows? Using well known formula, i.e, formula of sum of nth term of Arithmetic progression ::
\Large\underline{\boxed{\bf{\red{S_{n} = \dfrac{n}{2}\Big[2a + \big(n - 1\big)d\Big]}}}}
S
n
=
2
n
[2a+(n−1)d]
Where, Sn denotes sum of nth terms, n denotes number of terms, a denotes first term and d denotes common difference.
Let's solve it!!
\:
\underline{\sf{\bigstar\:Putting\:all\:known\:values\::-}}
★Puttingallknownvalues:−
\begin{gathered}\\ \longrightarrow \:\sf S_{25} = \dfrac{25}{2}\Big[\big(2\big)\big(1\big) + \big(25 - 1\big)\big(1\big)\Big] \end{gathered}
⟶S
25
=
2
25
[(2)(1)+(25−1)(1)]
\begin{gathered}\\ \longrightarrow \:\sf S_{25} = \dfrac{25}{2}\Big[\big(2\:\times\:1\big) + \big(24\:\times\:1\big)\Big] \end{gathered}
⟶S
25
=
2
25
[(2×1)+(24×1)]
\begin{gathered}\\ \longrightarrow \:\sf S_{25} = \dfrac{25}{2}\Big[2 + 24\Big] \end{gathered}
⟶S
25
=
2
25
[2+24]
\begin{gathered}\\ \longrightarrow \:\sf S_{25} = \dfrac{25}{\cancel{2}}\:\times\:\cancel{26}\end{gathered}
⟶S
25
=
2
25
×
26
\begin{gathered}\\ \longrightarrow \:\sf S_{25} = 25\:\times\:13\end{gathered}
⟶S
25
=25×13
\begin{gathered}\\ \longrightarrow \:\boxed{\bf {\purple{S_{25} = 325}}}\:\orange{\bigstar}\end{gathered}
⟶
S
25
=325
★
Answer:
Of the important discoveries made in the Mesolithic and New Stone Age, the most far-reaching were new ways of getting food. In addition to hunting and gathering, man learned to tame animals so that they would be near when he needed meat. Man learned to tame such animals as sheep, goats, pigs, and cattle.